Debugging :: Multiple Different BSOD's On New Build With Windows 8.1

I built a new computer for my girlfriend, which of course ran fine at my house for 4 days, and even passed 12 hours of prime95. She lives over an hour away, and since I left a few days ago, she has had multiple problems with BSOD's. It seems to occur far more often when powering the computer on, and then it often takes multiple attempts to get the pc running - but once it is running, it seems to be somewhat stable. It seems to be somewhat random whether it will power up normally.

Some basic hardware info:
Intel Pentium G3258 with stock cooler running at stock speed (3.2)
Corsair XMS 2x4GB DDR3 1333
Gigabyte GA-H81M-DS2V motherboard
Hanns-G HT231DPBU Touchscreen monitor
Plextor M6S SATA3 (6Gb/s) solid state
Corsair CX430M PSU

I am not sitting at the PC now, but I did manage to get her to send me the minidumps. However, I am not able to figure out what the error is, or even how to start looking for it. I have 6 minidumps, mostly different days, with 6 different errors. I am attaching the minidumps here. I've run them through online crash analyzers, and can't find a pattern.