Friendlybear, Please try this on both PCs.
1. Wireshark & qBittorrent are torrenting programs-uninstall for now.
2. Java is seriously messed up. Please uninstall it. You seem to have 2 versions. Make sure it is completely cleaned out and reinstall it.
3. Adobe Air, Flash ans Shockwave are out of date, please either update them or uninstall them, and reinstall the current versions downloaded from Adobe only. Watch out for the add ons they include.
After finishing that reboot a couple of times and please right click on the start icon and select Command prompt administrator, give admin permissions and copy/paste this into the window that opens and press enter sfc /scannow . If you decide to type it in, please notice the space between the sfc and the /. We want it to say no integrity violations were found. If it says there where corrupt files that could not be repaired, please reboot and run it again. You may have to run it 3 times with reboots in between each time.
If you get unrepaired corruption please run, in the same elevated command prompt,
It will put a text file on your desktop from the scan results. Please zip them and upload them here when completed.
findstr /c:"[SR]" %windir%\Logs\CBS\CBS.log >"%userprofile%\Desktop\sfcdetails.txt"
Also Please upload the BSOD Posting instructions BSOD - Posting Instructions - Windows 10 Forums. Upload them here. This will tell you how Screenshots and Files - Upload and Post in Ten Forums - Windows 10 Forums. Run it on both computers please.