I've run memory tests, anti-spy/malware, check voltages, checked for shorts, checked drivers, checked BIOS, checked PSU, ran chkdsk /f, cleaned the registry, and more.
I noticed that the event viewer was acting strange. It wasn't always capturing errors, which was making it very hard to try to pin down where this is coming from. Then I noticed that logging was being turned off for an hour at a time because crypt32 was reaching its limit of 50. The error that is causing this is CAPI2. Failed extract of third-party root list from auto update cab at:
<http://www.download....uthrootstl.cab> with error: A required certificate is not within its validity period when verifying against the current system clock or the timestamp in the signed file.
I downloaded the certificate and installed it into trusted, yet I'm still getting the problem. I also get random system hangs, but no associated errors.
Most everything you need to know about the system can be found in the attachments I've provided. Any and all help is appreciated.