Random BSoD's throwing multiple errors

I built my PC about two years ago and it has sporadically had BSoD's the entire time. Sometimes it is while playing a game or just idling. I can't seem to replicate it, it just sort of happens. My first thought was perhaps bad memory. I initially had 8 GB of Corsair ram that I have ran Memtest on for multiple passes and they have all come back clean. Same for chkdsk on both of my drives (the HDD was the first primary OS drive until the SSD was purchased). They both have always come back clean. I then thought it was my cracked version of Windows 7.

I recently bought a licensed copy of windows, 8 more GB of Corsair ram, and a new video card. I added the RAM and video card first and logged in. I started getting hard freezes after 3-5 minutes of logging in with all 4 ram sticks in, then endless boot loops. I did a fresh install of Win7 with the legit copy, same thing. I removed 2 of the ram sticks( the originals) and the boot loops stopped and I was able to get windows updated and drivers installed. I put the original ram back in and after an hour or so I got the original BSoD's again. I then removed the original, leaving the new ram in. So far I have only gotten 1 BSoD naturally with the new ram in but then again, they have always been very random, sometimes having 5 in a day and then none for a few weeks. I ran driver verifier and within 2 minutes of running it caused a BSoD about the registry filter, but most of the others are critical structure corruption via ntoskrnl or hal.dll. I am at a loss at this point guys.

Also, I have .zip file on my desktop but cannot seem to get the attach button, or any of the buttons for that matter, to work.

Ok, I figured out how to get the attach button to work. It was something to do with my university network because while running through a VPN it works fine. Anyways, here is the required .zip files, finally.