Unstable Macbook Pro (early 2011) using 10.9.5 (com.apple.crashreporter.writereport.crash reporting every second in console logs)

Hello

I am currently experiencing several bizarre issues that have created an unusable machine.

My macbook pro (early 2011 model) is using 10.9.5 . Late Sunday I had used Safari to load up a link that contained a flash video on IGN.com (as I keep flash shut off by default in Firefox due to constant discovery of security vulnerabilities). After a minute or so of watching the video, the playback started to play frame by frame. Then my computer decided to reboot, showing a system screen stating that there was a problem and at any moment it was going to reboot (not exact words but a common screen).

The machine stuck on the white screen at bootup. I manually shut it down after several minutes of it not going anywhere, put in DiskWarrior to see if it would help recover the system. As usual it helped me get back into OS X (I have a saved pdf report from this that may actually tell me what it did with files/directory rebuilding) but from this point is where several things changed on me. The notification pane went missing, the app store wouldn't launch. The computer fans were spinning and that is when I went into the console to look at the logs.

Every second it was producing the following text in the log, which explains part of the reason why the computer was working so hard:

ReportCrash com.apple.message.domain: com.apple.crashreporter.writereport.crash

Along with other errors having to do with OpenGL showing up every other second too (graphics look sluggish, as if I were in safe boot).

I checked the activity monitor and seen a task that has to do with the kernel was taking up over a gig of RAM (I never watched the activity monitor to see what is typical).

QuickTime didn't allow for a screen capture (possibly to do with the graphics being switched to maybe software only?).

Before all this happened, an antivirus program called Sophos, quit working. I also was unable to uninstall it, it failed every time. When it was working it kept giving me an alert for a virus (php-agent), I would kill it every time it randomly pop up. I found some random pop ups in Firefox as well that I had been able to view the java source, which led to some sort of malware installers being called. Uncertain if it managed to install anything. These may be vague details but it is all I can remember without being on the machine as I type this (and I can't bring back the pop ups with the malware, at least I don't believe, unless they are in the browsers history still).

My computer has been randomly rebooting lately as well. I did have my machine repaired due to the video issues ( https://www.apple.com/support/macbookpro-videoissues/ ). Not sure if this problem is related to the random pieces of the operating system disappearing (app store, notifications center).

When I looked at the keychain application under utilities, I seen a public and private key that are called <key>. Each key said that any user could use it. Is this typical? Could it be part of the my issues?

I have made a backup of the hard drive, I may be doing another since my first backup was in a dmg file and I rather have access to my files in case I have to resort to using a PC for now. The reason I detail this all here is in case anyone else is facing similar issues and to seek advice. I plan on wiping the computer and starting over but if there are some things I can try before I do, that would be great (any recommendation to which OS would be a better choice at this time for stability/security would also be good to know, though I honestly don't trust anything at this point due to rampant hacking/malicious malware). May also consider running a virtual machine next go around just for using the internet.

I appreciate any advice and would be glad to add any details I may of left out. Thanks.