HELP! Slant 6 just doesn't want to go!

Hey guys, Sorry if I start ranting but it's my first post. I'm restoring a 1969 Dart Custom with a slant 6 225 and I just can't get it running properly and was hoping someone here could maybe help me out. The car was stored in a barn for just over a decade when I brought it home in the fall of 2009. At that time the carburetor, the points, the rotor, the plugs and wires, coil, fuel pump and distributor cap had all been changed and I disconnected the old fuel line from the tank and ran a line into a jerrycan to play it safe. At that time the car was movable but not running great. Since I had brought it home I had not been able to move the car for a couple of years because I put it up on jack stands and redid all the undercarriage, differential, fuel lines and brake lines (I work slow) but I still ran it time to time. Then one time when I tried to start it up it would not go at all. Turns out the nylon drive gear on the distributor had cracked and broke. I replaced it and put the distributor back in and it was running again (still running rough). When it came time to start it up for the first time this spring it wouldn't even turn over, after finding a short in the starter motor, I replaced it as well at the starter relay and it started up but was still not running quite right. I finally got the car down onto it's tires and when I go to put the car in gear it quit on me. So then I thought it's got to be a timing issue. Started the car up and hooked up the timing light and it was far too advanced. I must have been off a tooth from when I changed the drive gear on the distributor. I found TDC of cylinder one and spent quite a bit of time trying to get it right. I pulled the distributor again and marked where the rotor will be just before the contacts open (which is where the plugs should be) put the distributor back in and ran the wires accordingly and now I'm lucky to get it to start. When it does start it runs for maybe 2 minutes and then quits. It even quits when I give it full throttle! I'm baffled, the only other thing I can think of is a fuel problem? Maybe the carb float is sticking? I've been reading the 1969 dodge service manual and there isn't much in there to help me with this one. Any thoughts or ideas would be greatly appreciated!