Like my old man taught me, look for the simple stuff first. Good spark and fuel delivery are obvious so you've got the right things in mind. I would go through/change the following (unless you know they've recently been changed):
Timing, plugs, wires, cap, rotor, PCV, air filter, fuel filter (I'd change it regardless), vacuum lines/leaks. Basically a good tune up.
As for the carb, sounds like you might be a candidate for a rebuild.
BTW, did we get you right that you're not using the fuel tank and running the car from a gas can?!?!?
Good luck and be careful!!
Paul