FIrst, thanks for helping me with all this stuff. Secondly, I don't know how to proceed any further. Here is what has been happening:
I come home from work, try to turn my computer on, it tells me (since its been BSODing during boot now) that it needs to repair windows. I allow it to do that. It repairs windows without a problem, and I get all the way to my computer. I tried to run the SF diagnostics tool, but during that process, it always blue screens. So, unfortunately, I can't get you the additional blue screens because my computer won't stay on long enough.
On an interesting side note, after the computer BSODs the first time (while running the SF tool) I try to restart it, and before windows is done loading, it BSODs again, and continues to get shorter and shorter for how long the computer will run. That is, until I remove a stick of memory, upon which the process basically restarts. I remove a stick of memory, it will start up, repair windows, let me log in, start running the SF tool and then BSOD again.
Are there any further suggestions?