Can't install montain lion, mavericks or yosemite on my mac pro early 2008 8core

Question

I tried installing mountain lion mavericks and yosemite on my mac pro early 2008 I upgraded the video card to see if that was the problems and still the same the problem is that after installing even during install the mouse moves super slow and the keyboard won't work at all so I can't entern
any information this is with a clean install and even if I update  lion it does the same everything works fine on  lion 10.7.5 problems there does any one know what could be the issue here? I'm only running one monitor and its the 30 inch cinema display here are the specst of my machine excuse my grammar and spelling it was never my favorite subject
  Model Name: Mac Pro
  Model Identifier: MacPro3,1
  Processor Name: Quad-Core Intel Xeon
  Processor Speed: 2.8 GHz
  Number of Processors: 2
  Total Number of Cores: 8
  L2 Cache (per Processor): 12 MB
  Memory: 8 GB
  Bus Speed: 1.6 GHz
  Boot ROM Version: MP31.006C.B05
  SMC Version (system): 1.25f4
  Serial Number (system): G881111VXYK
  Hardware UUID: 714C0BE4-9A35-5C33-BF74-0F55F7C31B5F
AMD Radeon HD 6870:
  Chipset Model: AMD Radeon HD 6870
  Type: GPU
  Bus: PCIe
  Slot: Slot-1
  PCIe Lane Width: x16
  VRAM (Total): 1024 MB
  Vendor: ATI (0x1002)
  Device ID: 0x6738
  Revision ID: 0x0000
  ROM Revision: 007-NETKAS-ORG
  EFI Driver Version: 01.00.507
  Displays:
Cinema HD:
  Display Type: LCD
  Resolution: 2560 x 1600
  Pixel Depth: 32-Bit Color (ARGB8888)
  Display Serial Number: CY03018WXMP
  Main Display: Yes
  Mirror: Off
  Online: Yes
  Rotation: Supported
  ECC: Enabled
DIMM Riser B/DIMM 1:
  Size: 2 GB
  Type: DDR2 FB-DIMM
  Speed: 667 MHz
  Status: OK
  Manufacturer: 0x014F
  Part Number: 0x5453324741504D41435038502D5420202020
  Serial Number: 0x00031CFB
DIMM Riser B/DIMM 2:
  Size: 2 GB
  Type: DDR2 FB-DIMM
  Speed: 667 MHz
  Status: OK
  Manufacturer: 0x014F
  Part Number: 0x5453324741504D41435038502D5420202020
  Serial Number: 0x00031CFB
DIMM Riser A/DIMM 1:
  Size: 1 GB
  Type: DDR2 FB-DIMM
  Speed: 667 MHz
  Status: OK
  Manufacturer: 0x80AD
  Part Number: 0x48594D5035313241373243503844332D5335
  Serial Number: 0x01431026
DIMM Riser A/DIMM 2:
  Size: 1 GB
  Type: DDR2 FB-DIMM
  Speed: 667 MHz
  Status: OK
  Manufacturer: 0x80AD
  Part Number: 0x48594D5035313241373243503844332D5935
  Serial Number: 0x57656411
DIMM Riser B/DIMM 3:
  Size: Empty
  Type: Empty
  Speed: Empty
  Status: Empty
  Manufacturer: Empty
  Part Number: Empty
  Serial Number: Empty
DIMM Riser B/DIMM 4:
  Size: Empty
  Type: Empty
  Speed: Empty
  Status: Empty
  Manufacturer: Empty
  Part Number: Empty
  Serial Number: Empty
DIMM Riser A/DIMM 3:
  Size: 1 GB
  Type: DDR2 FB-DIMM
  Speed: 667 MHz
  Status: OK
  Manufacturer: 0x80AD
  Part Number: 0x48594D5035313241373243503844332D5335
  Serial Number: 0x01172313
DIMM Riser A/DIMM 4:
  Size: 1 GB
  Type: DDR2 FB-DIMM
  Speed: 667 MHz
  Status: OK
  Manufacturer: 0x80AD
  Part Number: 0x48594D5035313241373243503844332D5335
  Serial Number: 0x01172714
Intel ESB2 AHCI:
  Vendor: Intel
  Product: ESB2 AHCI
  Link Speed: 3 Gigabit
  Negotiated Link Speed: 3 Gigabit
  Description: AHCI Version 1.10 Supported
WDC WD5000AAKS-00A7B0:
  Capacity: 500.11 GB (500,107,862,016 bytes)
  Model: WDC WD5000AAKS-00A7B0                 
  Revision: 01.03B01
  Serial Number:     WD-WMASY0158891
  Native Command Queuing: Yes
  Queue Depth: 32
  Removable Media: No
  Detachable Drive: No
  BSD Name: disk2
  Medium Type: Rotational
  Bay Name: Bay 1
  Partition Map Type: GPT (GUID Partition Table)
  S.M.A.R.T. status: Verified
  Volumes:
disk2s1:
  Capacity: 209.7 MB (209,715,200 bytes)
  BSD Name: disk2s1
  Content: EFI
HD:
  Capacity: 499.25 GB (499,248,103,424 bytes)
  Available: 484.82 GB (484,820,348,928 bytes)
  Writable: Yes
  File System: Journaled HFS+
  BSD Name: disk2s2
  Mount Point: /Volumes/HD
  Content: Apple_HFS
Recovery HD:
  Capacity: 650 MB (650,002,432 bytes)
  BSD Name: disk2s3
  Content: Apple_Boot
WDC WD5000AAKS-00A7B0:
  Capacity: 500.11 GB (500,107,862,016 bytes)
  Model: WDC WD5000AAKS-00A7B0                 
  Revision: 01.03B01
  Serial Number:     WD-WMASY0158891
  Native Command Queuing: Yes
  Queue Depth: 32
  Removable Media: No
  Detachable Drive: No
  BSD Name: disk2
  Medium Type: Rotational
  Bay Name: Bay 1
  Partition Map Type: GPT (GUID Partition Table)
  S.M.A.R.T. status: Verified
  Volumes:
disk2s1:
  Capacity: 209.7 MB (209,715,200 bytes)
  BSD Name: disk2s1
  Content: EFI
HD:
  Capacity: 499.25 GB (499,248,103,424 bytes)
  Available: 484.82 GB (484,820,348,928 bytes)
  Writable: Yes
  File System: Journaled HFS+
  BSD Name: disk2s2
  Mount Point: /Volumes/HD
  Content: Apple_HFS
Recovery HD:
  Capacity: 650 MB (650,002,432 bytes)
  BSD Name: disk2s3
  Content: Apple_Boot
Intel ESB2 AHCI:
  Vendor: Intel
  Product: ESB2 AHCI
  Link Speed: 3 Gigabit
  Negotiated Link Speed: 3 Gigabit
  Description: AHCI Version 1.10 Supported
HDS725050KLA360:
  Capacity: 500.11 GB (500,107,862,016 bytes)
  Model: HDS725050KLA360                       
  Revision: K2AOAB5A
  Serial Number:       KRVN67ZBHBEEAH
  Native Command Queuing: Yes
  Queue Depth: 32
  Removable Media: No
  Detachable Drive: No
  BSD Name: disk1
  Medium Type: Rotational
  Bay Name: Bay 2
  Partition Map Type: MBR (Master Boot Record)
  S.M.A.R.T. status: Verified
  Volumes:
UNTITLED 1:
  Capacity: 500.11 GB (500,107,860,992 bytes)
  Available: 449.41 GB (449,412,988,928 bytes)
  Writable: Yes
  File System: MS-DOS FAT32
  BSD Name: disk1s1
  Mount Point: /Volumes/UNTITLED 1
  Content: DOS_FAT_32
HDS725050KLA360:
  Capacity: 500.11 GB (500,107,862,016 bytes)
  Model: HDS725050KLA360                       
  Revision: K2AOAB5A
  Serial Number:       KRVN67ZBHBEEAH
  Native Command Queuing: Yes
  Queue Depth: 32
  Removable Media: No
  Detachable Drive: No
  BSD Name: disk1
  Medium Type: Rotational
  Bay Name: Bay 2
  Partition Map Type: MBR (Master Boot Record)
  S.M.A.R.T. status: Verified
  Volumes:
UNTITLED 1:
  Capacity: 500.11 GB (500,107,860,992 bytes)
  Available: 449.41 GB (449,412,988,928 bytes)
  Writable: Yes
  File System: MS-DOS FAT32
  BSD Name: disk1s1
  Mount Point: /Volumes/UNTITLED 1
  Content: DOS_FAT_32
Intel ESB2 AHCI:
  Vendor: Intel
  Product: ESB2 AHCI
  Link Speed: 3 Gigabit
  Negotiated Link Speed: 3 Gigabit
  Description: AHCI Version 1.10 Supported
HDS725050KLA360:
  Capacity: 500.11 GB (500,107,862,016 bytes)
  Model: HDS725050KLA360                       
  Revision: K2AOAB5A
  Serial Number:       KRVN67ZAK1RKSF
  Native Command Queuing: Yes
  Queue Depth: 32
  Removable Media: No
  Detachable Drive: No
  BSD Name: disk0
  Medium Type: Rotational
  Bay Name: Bay 3
  Partition Map Type: GPT (GUID Partition Table)
  S.M.A.R.T. status: Verified
  Volumes:
disk0s1:
  Capacity: 209.7 MB (209,715,200 bytes)
  BSD Name: disk0s1
  Content: EFI
machd:
  Capacity: 499.25 GB (499,248,103,424 bytes)
  Available: 372.42 GB (372,419,407,872 bytes)
  Writable: Yes
  File System: Journaled HFS+
  BSD Name: disk0s2
  Mount Point: /
  Content: Apple_HFS
Recovery HD:
  Capacity: 650 MB (650,002,432 bytes)
  BSD Name: disk0s3
  Content: Apple_Boot
HDS725050KLA360:
  Capacity: 500.11 GB (500,107,862,016 bytes)
  Model: HDS725050KLA360                       
  Revision: K2AOAB5A
  Serial Number:       KRVN67ZAK1RKSF
  Native Command Queuing: Yes
  Queue Depth: 32
  Removable Media: No
  Detachable Drive: No
  BSD Name: disk0
  Medium Type: Rotational
  Bay Name: Bay 3
  Partition Map Type: GPT (GUID Partition Table)
  S.M.A.R.T. status: Verified
  Volumes:
disk0s1:
  Capacity: 209.7 MB (209,715,200 bytes)
  BSD Name: disk0s1
  Content: EFI
machd:
  Capacity: 499.25 GB (499,248,103,424 bytes)
  Available: 372.42 GB (372,419,407,872 bytes)
  Writable: Yes
  File System: Journaled HFS+
  BSD Name: disk0s2
  Mount Point: /
  Content: Apple_HFS
Recovery HD:
  Capacity: 650 MB (650,002,432 bytes)
  BSD Name: disk0s3
  Content: Apple_Boot
Intel ESB2 AHCI:
  Vendor: Intel
  Product: ESB2 AHCI
  Link Speed: 3 Gigabit
  Description: AHCI Version 1.10 Supported
Intel ESB2 AHCI:
  Vendor: Intel
  Product: ESB2 AHCI
  Link Speed: 3 Gigabit
  Description: AHCI Version 1.10 Supported
Intel ESB2 AHCI:
  Vendor: Intel
  Product: ESB2 AHCI
  Link Speed: 3 Gigabit
  Description: AHCI Version 1.10 Supported

Answer 1

Try this:
clone your system and repair it with Disk Warrior instead
Or try a clean test system install on another drive
A must: SmcFanControl 2.2 - a mere 400 rpm extra to keep air cooling up
Try to run w/o externals. MyBook included.
Is that a 7200.11 1TB? they had a lot of issues.
Run AHT off your OEM DVD.
2008 had to have EFI and SMC updates to deal with freezes on wake from sleep, and like all models, high inrush current.  Hopefully you have a UPS and is 1500VA unit.
When you do hard restart from power button, you almost certainly add more directory errors and to files requiring immediate attention to repair and rebuild the directory; and to scan and repair and delete cache and temp files and folders. A must. Invest in bootable backups SuperDuper along with Disk Warrior (or TechTool Pro 6, maybe Drive Genius 3 but I'd rate that #3).
TimeMachine has its own bad habits, especially with Green drives and some externals.
Try to rule out everything and then add back one at a time.
And it may just be time to replace the 8800, very common, a couple threads this week, and it is 3 yrs old.  Might want ATI 5870 or 5770.