Managed to jump start it a few minutes ago, feeling blessed that I don't have to install a new starter.
Unfortunately, the car is dying after revving passed 3,000 rpm, and then it will refuse to start without priming the fuel pump a few times. Is it possible this is just because it's new, or is there a different problem all together?
Another set back, despite the new fuel sending unit having much more consistent resistance readings, the fuel gauge continues to not work. Guess a new gauge cluster will be the next part. Not truly sad about it, as I planned on getting a new one anyways. Might be smart to try taking the cluster out and checking the right prongs for some voltage to make sure it's not a wiring issue.
The biggest hurdle right now is trying to differentiate what is actually a problem. Without the fuel gauge, I can't monitor my gas levels to see if I'm just running really rich and burning through more gas than I realize or if there's still a problem with the pump. However, whenever I prime it, it sounds perfect, whereas before when it would die, there would be a very audible whine coming from the pump.