Issues: extremely slow start up, occasional green fuzzy screen, doesn't always hibernate and overheats

Question

First off, I should say that I'm not the type of person to shutdown my computer. If anything, I shut it to hiberate. I'm not sure if that's bad pratice or if that's what lead to this over time.. So here's what happens.. Today, I was working away and all of a sudden a fuzzy screen comes up with a little bit of green and then a beeping sound. So I shut it off. This is rare, sometimes the fuzzy screen comes up for a second randomly or when I open my computer from hiberate mode or when I'm just using the computer.
When I turn my computer on,
1. sometimes the 'on' button doesn't work and it takes a few tries (however this hasn't happened in the past few weeks. *knock on wood*)
Once the computer is on the blue screen comes up:
2. which stays on for anywhere from 5-20 minutes.
3. Log in appears with the cursor blinking but I actually can't type anything.. It lags behind sometimes another 20 minutes before my password appears and I could log on.
Checking the message board for similar questions it was recommended that I update the software.
I've tried to get Mavericks on here but I get an error message when it tries to restart the computer and never does so successfully on its own.
I've helped it along and was able to attempt at installing it but I waited a least an hour for it to 'find my disks' with no luck I went the disk utility repair route istead of time machine backup which couldn't find my external or anything for that matter.
The error message I got back was:
invalid block count It should be 21066078 instead of 21066076. Found corrupt needs to be repaired.
Any thoughts or advice would be helpful. Thanks in advance. Below is my EtreCheck.
Hardware Information:
    MacBook Pro (15-inch, Mid 2010)
    MacBook Pro - model: MacBookPro6,2
    1 2.66 GHz Intel Core i7 CPU: 2 cores
    8 GB RAM
Video Information:
    NVIDIA GeForce GT 330M - VRAM: 512 MB
    Intel HD Graphics - VRAM: 288 MB
System Software:
    Mac OS X 10.6.8 (10K549) - Uptime: 0 days 2:2:6
Disk Information:
    Hitachi HTS725050A9A362 disk0 : (465.76 GB)
        (null) (disk0s1) <not mounted>: 200 MB
        Macintosh HD (disk0s2) / [Startup]: 465.44 GB (80.03 GB free)
    MATSHITADVD-R   UJ-898 
USB Information:
    Apple Internal Memory Card Reader
    Apple Inc. BRCM2070 Hub
        Apple Inc. Bluetooth USB Host Controller
    Apple Inc. Apple Internal Keyboard / Trackpad
    Apple Computer, Inc. IR Receiver
    Apple Inc. Built-in iSight
FireWire Information:
Thunderbolt Information:
Problem System Launch Daemons:
    [System]    org.samba.winbindd.plist 3rd-Party support link
Launch Daemons:
    [System]    com.adobe.fpsaud.plist 3rd-Party support link
    [System]    com.adobe.SwitchBoard.plist 3rd-Party support link
Launch Agents:
    [System]    com.adobe.AAM.Updater-1.0.plist 3rd-Party support link
    [System]    com.adobe.CS5ServiceManager.plist 3rd-Party support link
User Launch Agents:
    [not loaded]    com.adobe.AAM.Updater-1.0.plist 3rd-Party support link
    [not loaded]    com.adobe.ARM.[...].plist 3rd-Party support link
User Login Items:
    AdobeResourceSynchronizer
    Dropbox
Internet Plug-ins:
    AdobeAAMDetect: Version: AdobeAAMDetect 1.0.0.0 - SDK 10.6 3rd-Party support link
    FlashPlayer-10.6: Version: 13.0.0.214 - SDK 10.6 3rd-Party support link
    Flip4Mac WMV Plugin: Version: 2.4.4.2 3rd-Party support link
    AdobePDFViewerNPAPI: Version: 10.1.9 3rd-Party support link
    AdobePDFViewer: Version: 10.1.9 3rd-Party support link
    CouponPrinter-FireFox_v2: Version: Version 1.1.9 - SDK 10.5 3rd-Party support link
    Flash Player: Version: 13.0.0.214 - SDK 10.6 3rd-Party support link
    JavaAppletPlugin: Version: 13.9.8 - SDK 10.6 Outdated! Update
    QuickTime Plugin: Version: 7.6.6
    Silverlight: Version: 5.1.20513.0 - SDK 10.6 3rd-Party support link
    iPhotoPhotocast: Version: 7.0 - SDK 10.7
iTunes Plug-ins:
    Quartz Composer Visualizer: Version: 1.2
3rd Party Preference Panes:
    Flash Player  3rd-Party support link
    Flip4Mac WMV  3rd-Party support link
Old Applications:
    None
Time Machine:
    Time Machine information requires OS X 10.7 "Lion" or later.
Top Processes by CPU:
         6%    firefox
         5%    EtreCheck
         2%    hidd
         1%    WindowServer
         0%    distnoted
Top Processes by Memory:
    631 MB    firefox
    164 MB    mds
    74 MB    Mail
    74 MB    Dropbox
    57 MB    plugin-container
Virtual Memory Information:
    5.33 GB    Free RAM
    1.02 GB    Active RAM
    799 MB    Inactive RAM
    886 MB    Wired RAM
    1.30 GB    Page-ins
    0 B    Page-outs

Answer 1

Simska,
regarding the overheating, you can try resetting your MacBook Pro’s System Management Controller.
Regarding the invalid block count, you should boot from your grey Mac OS X Install DVD which originally came in the box with your MacBook Pro, run Disk Utility from it (via the Utilities menu in the menu bar), and select Repair Disk for your internal disk.
After your disk is repaired, exit Disk Utility and restart from your internal disk. When you log in, you should uninstall your installed version of iPhoto Photocast — it was written to work with the Lion (Mac OS X 10.7) SDK, but you have Snow Leopard (Mac OS X 10.6.8) installed, so it’s not supported under Snow Leopard. Install in its place an older version of iPhoto Photocast which is compatible with Snow Leopard. You also have an outdated version of Silverlight installed — you can download the most recent version from here.