BSOD under light load "IRQL NOT LESS OR EQUAL"

My system has been unstable for a long time now, and I am trying to slowly trouble shoot it. The main problem is that there seems to be no specific reason why my computer crashes all the time. some times it crashes at start, other times it will crash in the middle of a game (I am a heavy gamer). The time between crashes is random at best. It often crashes a lot within a few days and then is fine for a few weeks, rinse and repeat. most times it crashes when I am surfing the web ( I use Firefox) or I am switching between two windows. I run dual monitors off of a single 480 for productivity, but disable the second when I game.

important note: For a long time I had issues with AMD's FUEL service. when I googled the problem, most people with nividia cards experienced no ill effects when turning it off. I have an error about AOD drivers in the event logs. not sure what that is all about.

-thanks in advance for any help you are willing to provide.
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uses for my computer:

• High performance Computing With MATLab
• 3-D solid modeling and rendering (SolidWorks)
• Xilinx Design suit
• Heaving gaming. everything from crysis to runescape.
• browsing the web
• school work and general productivity.

Most of my BSOD's come from gaming and web browsing.
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To troubleshoot and test for stability in my system I have run:

1) A few burn tests to test heavy loading conditions ( I only got a BSOD once while doing this and that was when I first put together the computer. added a fan and everything was dandy)

2) I have run memtest many times to check my memory. all of it passes with no errors.

3) I have monitored my hardware fairly closely with several monitoring programs (cpuz and the like) to check temps and performance.
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Foot Note: Attached is the msinfo32 file and the SF_Diagnostic grab all file. many of the dumps are kernel dumps except for the most recent one which should be a minidump.

My profile should have my current system specs with part numbers where available. I did fill out all the specs when I created my account. If for some reason my specs are not showing up, I apologize and I can post them in thread.

As for the diagnostic tool, I had read that guide and run the program to completion, then zipped and attached the folder. I re-downloaded the program ( maybe I didn't get the right version?). will run again and post results.

Thanks for the super fast response. I'm always lurking here and I want you to know I really appreciate your time.

Just a note, the SF diagnostic tool is taking far longer this time, and it also had a JIT handle error that it did not have before. I have attached a text file with error printout in it.

thanks for taking a look. I ran the SF Diagnostic again and I have attached the new folder. Looks similar to the old folder, but perhaps the content is different. I don't know if it is relevant, but I only recently switched my computer over to creating mini-dumps when it crashes. before it was dumping just the kernel. there should only be one mini-dump, and the rest should be kernel dumps.

• Hamachi is gone ( I thought I uninstalled it, but didn't). cleaned out some other older programs as well.
• Updated the Realtek driver
• A windows update was the first thing I did, but I ran the update tool again. No new MS updates.
• I would like to keep my Norton AV, I will do a clean install. If it continues to cause problems I will uninstall, but I have never experienced compatibility issues with it in the past.