As Anodoin said, the problems point to an overheated PC. Get a temp reading from your BIOS as instructed, and probably surprise yourself.
PC cooling is critical, and an uncooled modern high performance processor can melt in about 10 seconds.
If you get a high temp reading, I would strongly suggest that both of you invest in new CPU heatsinks w/ high speed fans and a high quality thermal compound to ensure a good pathway for heat to spread and escape.
If you need help with choosing or installing these, just post here.
Thanks and good luck.