Macbook pro startup problems, Mavericks and Yosemite

Question

2011 MBP
OK I am an idiot for trying to update to Yosemite which basically killed my laptop. After a long time of trying everything I eventually deleted and reformatted the hd and reinstalled maverick + data from Time Machine (via internet recovery). But still the problem seems to persist more or less identically after working ok for some hours.
I opened up the laptop this morning and the screen was just blank and I couldn’t restart (just got the grey screen). I can open up in safe mode but there is some very strange behaviour. At the moment the screen is divided in half with the r side on the L and the L side on the R. This is new, no weird screen issues before (except the grey screen on startup).
I have tried internet recovery again to use disc utility, the disc verifies fine. There is something strange going on with the permissions though - 2 permissions need repairing and I repair them but when I re-verify they need repairing again. I have repaired them about 10 times now but have no idea if they are connected with my problems or not.
Anyway I am at a total loss to know what is wrong or what I can do about it and getting desperate (I need to work!!). Any ideas?

Answer 1

Launch the Console application in any of the following ways:
☞ Enter the first few letters of its name into a Spotlight search. Select it in the results (it should be at the top.)
☞ In the Finder, select Go ▹ Utilities from the menu bar, or press the key combination shift-command-U. The application is in the folder that opens.
☞ Open LaunchPad. Click Utilities, then Console in the icon grid.
The title of the Console window should be All Messages. If it isn't, select
          SYSTEM LOG QUERIES ▹ All Messages
from the log list on the left. If you don't see that list, select
          View ▹ Show Log List
from the menu bar at the top of the screen. Click the Clear Display icon in the toolbar. Then take one of the actions that you're having trouble with. Select any messages that appear in the Console window. Copy them to the Clipboard by pressing the key combination command-C. Paste into a reply to this message by pressing command-V.
The log contains a vast amount of information, almost all of which is irrelevant to solving any particular problem. When posting a log extract, be selective. A few dozen lines are almost always more than enough.
Please don't indiscriminately dump thousands of lines from the log into this discussion.
Please don't post screenshots of log messages—post the text.
Some private information, such as your name, may appear in the log. Anonymize before posting.