My macbook pro will only boot in safe mode

Question

Hey,
I have a macbook pro 15-inch, Early 2011 running osx 10.9.4. I have a SSD hard drive that i installed myself a year ago and hasn't shown any defects. Its a 120 gb OCZ-AGILITY3.
My problem:
My macbook will only boot in safe mode nowadays. I have done a complete erasion of my hard drive and installed osx mavericks twice already. After the installation the computer will safely go to the desktop. But if i then do a reboot it won't get further than after the first apple logo, sometime the turning wheel will pop up, before turning off and trying again. i have tried resetting PRAM, I have tried resetting SMC, i have tried avoiding SMC (with big fan rate), but all with no success.
I have done a complete hardware test (the longer one) and it showed "no troubles found".
My guess is that the problem is with the battery. My computer won't run anymore without the adapter, when i pull the adapter out it either stays on for a while before just turning off. Without having it plugged in it won't start. Is it possible that during normal start up there is some kind of communication with the battery that can cause this?
I ran a diagnostic shown in this thread (Will only boot in safe mode) and included it in this post.
Hope someone can help me out.
Thanks,
Bram
Start time: 17:07:42 08/25/14
Model Identifier: MacBookPro8,2
System Version: OS X 10.9.4 (13E28)
Kernel Version: Darwin 13.3.0
Boot Mode: Safe
Time since boot: 10 minutes
Battery
  Condition: Replace Now
Diagnostic reports
  2014-08-25 UserEventAgent crash
Log
  Aug 26 00:41:52 Previous Shutdown Cause: -128
  Aug 25 16:23:38 smb1_treeconnect_internal: Malformed tree connect with a bad word count! wc= 2
  Aug 25 16:24:05 process rpcsvchost[94] thread 917 caught burning CPU! It used more than 50% CPU (Actual recent usage: 99%) over 180 seconds. thread lifetime cpu usage 100.014147 seconds, (82.533432 user, 17.480715 system) ledger info: balance: 90006319931 credit: 100003230498 debit: 9996910567 limit: 90000000000 (50%) period: 180000000000 time since last refill (ns): 90079246240
  Aug 25 16:25:50 smb1_treeconnect_internal: Malformed tree connect with a bad word count! wc= 2
  Aug 25 16:58:05 jnl: b(1, 3): replay_journal: from: 9340928 to: 9773056 (joffset 0x37a000)
  Aug 25 16:58:05 jnl: b(1, 3): examining extra transactions starting @ 9773056 / 0x952000
  Aug 25 16:58:05 jnl: b(1, 3): txn starting at 9773056 (9773056) @ index  80 bnum 2696544 (8192) with disk cksum != blhdr cksum (0x93b69228 0xc647562)
  Aug 25 16:58:05 jnl: 0x662b0000 0x451b0000 0x2a0001ff 0x40000000  0xd7330300 0x46001d00 0x6c006f00 0x65006400
  Aug 25 16:58:05 jnl: b(1, 3): restarting journal replay (9340928 - 9773056)!
  Aug 25 16:58:05 jnl: b(1, 3): replay_journal: from: 9340928 to: 9773056 (joffset 0x37a000)
  Aug 25 16:58:05 jnl: b(1, 3): journal replay done.
  Aug 25 16:58:06 Previous Shutdown Cause: -128
  Aug 25 16:59:26 smb1_treeconnect_internal: Malformed tree connect with a bad word count! wc= 2
  Aug 25 16:59:59 smb1_treeconnect_internal: Malformed tree connect with a bad word count! wc= 2
Activity
  CPU: user 17%, system 4%
CPU per process: WindowServer (UID 0) is using 30.5  %
launchd
  /System/Library/LaunchAgents/com.apple.AirPortBaseStationAgent.plist
  - com.apple.AirPortBaseStationAgent
Contents of /System/Library/LaunchAgents/com.apple.AirPortBaseStationAgent.plist (XML  document text)
  <?xml version="1.0" encoding="UTF-8"?>
  <!DOCTYPE plist PUBLIC "-//Apple//DTD PLIST 1.0//EN" "http://www.apple.com/DTDs/PropertyList-1.0.dtd">
  <plist version="1.0">
  <dict>
  <key>Label</key>
  <string>com.apple.AirPortBaseStationAgent</string>
  <key>EnableTransactions</key>
  <true/>
  <key>LowPriorityIO</key>
  <true/>
  <key>LimitLoadToSessionType</key>
  <string>Aqua</string>
  <key>POSIXSpawnType</key>
  <string>Background</string>
  <key>LaunchEvents</key>
  <dict>
  <key>com.apple.distnoted.matching</key>
  <dict>
  <key>com.apple.airport.agent.prefschanged</key>
  <dict>
  <key>Name</key>
  <string>com.apple.airport.agent</string>
  </dict>
  </dict>
  <key>com.apple.bonjour.events</key>
  ...and 21 more line(s)
Spotlight: Indexing and searching disabled
Font issues: 11
Wi-Fi
  link auth: wpa-psk
Restricted files: 1
Elapsed time (s): 278

Answer 1

Actually it sometimes gets a little further, the display will dim and the pointer will appear and then whoop it will turn off. if i do a verbose start up, it will finish all the steps, the white screen will appear and dim and then it will turn off.