That's a very interesting thought, and I've never considered it. Did a bit of googling but nothing has come up.
So, Sine, you are saying you have only the APU running your graphics, no discrete card? If that's the case, then perhaps that may very well be what's causing these. The 0x101 bugchecks, as well as them occurring during graphics operations, would appear to coincide with an internal issue with the APU. The IntelBurn crashing and graphics corruption also points blame at this. Perhaps that's the component you need replaced should it indeed be a hardware problem.
Do you have warranty on this system still? If so, I reckon best to put it to use by asking them to replace the APU inside it.
I'll try to see what I can do about the crashdump when I have time, but I wouldn't bet on there being any results better than what's already provided. Have you actually done a BIOS update?