Frequent and multiple different BSOD Errors with no clear pattern

Good, that will help. Make sure you have a C:/windows/Minidump folder. If there is not one, create a folder called Minidump in C:/windows.

They look right, but you may try to uncheck 'Automatically restart'.

I hope so. We need the dump files.

Also, open a elevated command prompt ( click start, type cmd in the search box, right click on the cmd entry and select run as administrator) in the black box that opens, copy/paste sfc /scannow. If you decide to type it, notice the space between the sfc and the /. It is a system file checker which will scan your system files and attempt to correct any missing or corrupt files. What we want are the results to say windows found no integrity violations. If it says files were found but could not be repaired, close the box, reboot and run it again, after opening the administrative command prompt. You may have to reboot and run it three times for it to repair all system files. If it can't repair them after 3 reboots, let us know.

I hope so. Are you still getting BSODs since you ran the system file checker?