As I said earlier, I will check the battery and the alternator with a voltmeter. It's coming later today, since I'm not driving to it.
Depending on the voltage and what-not, I may or may not have to make some phone calls.
I think I am going to try to replace the small screw-like post in the top of the alternator. Since it broke off and the eye-terminals for the wires are simply being held by silicone (for now), I think this may be a necessary measure before doing a full rebuild or replacement. Anyone have any advice/input on this?