Welcome
Cursory examination points toward memory. As you test with memtes86 and not the window memory test. I will examine in more detail and will include any additional comments that you may have as I proceed. You have a large number of reports, each pointing at different causes; memory appearing several time. I may not complete this all at once and you may see partial responses. I will make it clear when I am done.
Run memtest for 8 passes; test with a good stick, each slot for 8 passes.
Guide to using Memtest86+ - Geeks to Go Forums
Sorry about not finishing, now, but several projects are on my plate and I just wanted to get your started and to let you know we are working on your problem.

You have given me about a dozen mini dumps
A few had codes in common
The codes for your dumps are as follows
BE 8E 50 A
Here are the possible causes of each code.
A
Usual causes: Kernel mode driver, System Service, BIOS, Windows, Virus scanner, Backup tool, compatibility
8E
Usual causes: Insufficient disk space, Device driver, Video card, BIOS, Breakpoint in startup without having a debugger attached, Hardware incompatibility, Faulty system service, 3rd party remote control, Memory
50
Usual causes: Defective hardware (particularly memory - but not just RAM), Faulty system service, Antivirus, Device driver, NTFS corruption, BIOS
BE
Usual causes: Device driver, Memory

I think it ironic that, although, A does not show memory as a cause, that was the reason given in your report.

Memory seems to be a likely suspect due to its appearance in so many reports and by my experience.
Hopefully we will not have to perform a driver verifier.

After testing your memory, if you pass and please post and we will continue.

DONE