STOP*0x0000007F: UNEXPECTED_KERNEL_MODE_TRAP
Usual causes:* Memory corruption, Hardware (memory in particular), Overclocking failure, Installing a faulty or mismatched hardware (especially memory) or a failure after installing it, 3rd party firewall, Device drivers, SCSI/network/BIOS updates needed, Improperly seated cards, Incompatible storage devices, Overclocking, Virus scanner, Backup tool, Bad motherboard, Missing Service Pack
Without the .dmps to analyze, that's the best I can do. Hope that helps you narrow it down.
You could run a check on the .dmp rawstack with the
sysnative application extension tool that niemiro built. That sometimes helps to determine if there's a driver conflict. You should also check whether the drivers loaded on that system are outdated or if any drivers loaded on that system are known to cause BSODs by checking the driver reference table
here or at
carrona.org (very useful info).