Big update on my issues.
After speaking with 5 Dell Technicians across 6 hours, I can confirm that my issue was a hardware one and not a software one. My computer had to have its Hard Drive/SSD and Processor replaced entirely. Now everything on 7 Days works without issue.
At this point my only real issues are making the game run smoothly. I noticed that in some of my multiplayer games, I seem to lag and jump forward a few feet every few seconds. Lowering the video settings to their lowest made everything smooth again, before the 7th Night lagged everything to hell. That's something for a different thread though, I'm sure.
I appreciate the support given to me in this thread, otherwise I probably wouldn't have noticed my computer problems until it was too late to back my files up or something worse.