Just as an update, I tried another solenoid only to have the same, unfortunate result. I called the folks at MADD electrical, and he mentioned that the solenoid, itself, has to be grounded? I never did this before and never had an issue until now, though I do believe it is a grounding issue, nonetheless. I've got it wired so that the solenoid is bypassed so I can drive it around, though I want to fix it. I don't have the time right now, so I might actually have to pay a friend to fix it, which I really don't want to do. Thank you all for the help, though!