Ah...multiple BSOD messages...that's not good. It would be nice if we knew the missing blanks in t3____.sys.
If the BSOD refers to a .sys file, 80% of the time the problem is that particular file. It's a driver file. Updating that can solve the problem. The other 20% of the time, it's an OS problem. Since it happens during gameplay, that t3_____.sys could be referring to a video driver of some kind.
As for the other BSODs, we could be dealing with bad hardware (like bad RAM).
Download and install Memtest 86:
http://www.memtest86.com/memtest86-3.4a.iso.zipUse whatever CD burning program you have to create a CD from the ISO image.
Restart your computer with the CD in the CD-ROM drive. Memtest 86 should automatically start if your computer is set to boot from the CD-ROM first. If not, you'll have to go in the BIOS and change the boot order.
Let Memtest 86 run for a while. If any red appears on the bottom of the screen, you probably have bad (or incompatible, or misconfigured) RAM.