BSOD from atikmpag.sys or failing graphics card?

I'll try my best to make this short so you don't have to read a novel. If you have questions or need detail, I'm happy to answer.

TL;DR: BSOD and computer looks crazy (see attachments). Eventually re-installed Windows. Semi-updated software/drivers, still looks crazy and crashes. Is it a software or a hardware problem?

Basic facts:

• Computer is about 5 years old
• "Custom" build through Cyberpower (Yes, I know now what a terrible life choice that was. I repent)
• Windows 7 Home Premium 64 Bit

Issue:

• Computer crashes/BSODs when run outside of safe mode (and sometimes even in safe mode)
• Display (fed through graphics card) looks crazy. Motherboard port didn't seem to work on first try, but going to check what's happening there shortly
• Prevailing message is atikmpag.sys, but have had other issues (I think by following the rules all crash reports are attached - but please read below)

Attempts at resolution so far (as suggested by sites found while trying amateurish troubleshooting via Google):

• Restarted computer and prayed
• Deleted AMD driver through Device Manager
• Downloaded CCC from AMD website and it installed a fresh, new driver
• Used command prompt to replace expanded version of atikmpag.sy_ to windows drivers as atikmpag.sys
• Reformatted hard drive via complete re-install of windows (the Sevenforums .zip attachment comes from this iteration).

My big question is, what is the source of my problem? Do I need to fix some software (and if possible, how) or do I need to replace hardware (just a dieing graphics card or an entirely new rig)?

**THANK YOU SO MUCH IN ADVANCE FOR YOUR HELP. Going a little crazy without my beloved PC. :) **