BSOD and freezing when gaming or watching videos

So initially when I first inherited the computer, it had a weak video card(ATI HD3650), Core 2 QUAD HQ8200 and 4GB of ram running Vista. With this GPU it would blue screen every 3 days instead of every day. I put in a better GPU (HD6570) and it started happening every day. Reformatted and upgraded to windows 7 which of course helped nothing. Since then, I've brought it to a computer repair shop where they checked and said they found no issues with the HDD and memory(I also checked memory prior to this with no issues found). They found a couple blown capacitors in the power supply and upgraded that to a 450 Watt. Still made no difference. Now I have an AMD R7 250X ASUS 1GB edition for a GPU. Seems a little better but not by much. Since the upgrade, most BSOD's point to ntkrnlpa.exe when before it pointed to ATI files. I know there have been posts similar to this before but I have not found help in those threads and was hoping there was something you smart cookies could find specific to my machine that might solve the problem. If someone can solve this, I owe you my life! I've spent hundreds of dollars trying to fix this so far. Thanks for reading my huge paragraph, I just wanted to make sure you have all the info :P Thanks!

EDIT: Last BSOD was DRIVER_IRQL_NOT_LESS_OR_EQUAL and the one before that mentioned a memory issue. It wouldn't surprise me if there was some sort of driver issue. I use driver identifier the best I can but not all of the driver updates work. If I could pinpoint what, if any driver is the issue I might be able to figure it out.

Here is my DM Log in the attatchment

Bump please! I've put so much money and time into trying to fix this. I would appreciate any help like crazy!

Alright last bump