Well wow, that is pretty random for sure. That is a windows 2000 error code? Did you see the file name it referenced also on the BSOD Page, just wondering it is not likely important

STOP: 0x0000003B (parameter, parameter, parameter, parameter) SYSTEM_SERVIC

Bug Check 0x3B: SYSTEM_SERVICE_EXCEPTION

What I would try first is clearing your CMOS to reset your IRQ's. Or, Personally I would just go ahead and update to the latest BIOS which includes some fixes and correct S3 issues >>>
GIGABYTE - Support&Download - Motherboard - BIOS - GA-EP45-DS3R (rev. 1.0)

If you do flash, or clear your CMOS see here for info on how to safely do both, and remember either way to load optimized defaults and follow my advised steps afterwords >>>
http://forums.tweaktown.com/f69/bios...h-guide-27576/