Hello ZMan. BSOD Analyse
It's a fact that the hardware identity would be sluggish when the BIOS is older. You're having the 2009 of BIOS. Before we'll proceed, update your BIOS. ZMan's Computer Model - Bios Update
Choose the first option in the BIOS menu, which is the wizard.
System Model HP Compaq 6005 Pro SFF PC
Once you've done that, check your memory.
Looking at your bugcheck it's likely that a memory corruption event were there. Though a driver could be causing the memory to be borked, but we're usually suggesting a memory test before moving forward. Do a scan with Memtest86+. Memtest is a scanner that'll check your sticks for errors. To ensure that we'll know if it's the slots on the motherboard that's broken, or the sticks itself - we have a little procedure we'll recommend. Remove 1 stick, scan the other with Memtest in the current slot. After 7 passes, move the stick to another slot and scan, and so on and so forth until you've scanned all the sticks, and all the slots, one by one. Memtest86+ - Advanced Memory Diagnostic Tool
Invalid system memory was referenced. This cannot be protected by try-except,
it must be protected by a Probe. Typically the address is just plain bad or it
is pointing at freed memory.
Arg1: fffffa8002c05fb0, memory referenced.
Arg2: 0000000000000000, value 0 = read operation, 1 = write operation.
Arg3: fffff8000290c575, If non-zero, the instruction address which referenced the bad memory