Hello MattDHarris Welcome to the Seven Forums!
Without even a look at the dump file you provided you are likely experiencing two main causes.
1) leftover drivers
from the previous video card not cleaned off fully
2) A failing hard drive is a source for an endless list of errors.
A third possible cause may be the incorrect drivers for the new card you have or simply a bad install of Windows/drivers seen and possibly due to problems with the main drive. If the fresh install went bad from the start resulting from a bad drive that would account for a list of problems.
The course of action now best advised would be making sure you have everything backed up from the failing drive in anticipation of replacement where you will be seeing another clean install. If you still continue to see problems then you have to start looking for other likely causes including high temps and possible memory faults.