Can't seem to figure it out.

Alright guys,

I recently purchased a 77 Nova with 54K miles on it. The car ran alright for about 2 days, and then suddenly would die at stop signs and lights. The RPMs were horribly low so we tried adjusting the idle control. Nothing. A buddy of mine suggested I change the fuel filter. Done, but nothing changed. Along the way, I also replaced the fuel line (because the old one was just too rusted and snapped.) Suddenly the car wouldn't start at all.

Seemed like a problem within the carb, so I cleaned and rebuilt it. Got the car to start, but it immediately died backing out of the driveway.

Rebuilt the carb again after dipping it and cleaning it REALLY GOOD. Replaced the gaskets and put it on.
Nothing.

Replaced the fuel pump and made it around the block. Still nothing.

Thought the timing might be a little off or maybe the gears were worn, so I took the car apart and checked the timing gears. Timing and gears were better than I thought. Still wouldn't start.

Replaced the fuel filter again (the other one just seemed damaged from pulling the carb so much)

Car made it around the block and wouldn't turn off when I got home. Just dieseled so I had to pull the air filter and cover the butterfly valve to kill it.

Went to restart it and you guessed it. NOTHING!

Next, replaced the distributor cap, rotor, plugs, and wires. Still no good.

I noticed the butterfly valve wasn't opening and closing properly so yesterday, I put a new electric choke.
Now the battery is mysteriously dead (charging for the 3rd time as I type this) But it's STILL not starting.

Engine looks good but I'm just about out of options. I need suggestions.

Can you help?