83 Honda Accord - Car won't start

1983 Honda Accord

153,000 miles

5-speed manual - 1.8L

For a few weeks my car has been having trouble starting. I have to press the gas pedal all the way to the floor in order for it to start.
After driving for approx 2 hrs in traffic, I turned my engine off and it sputtered & made a clunking sound before shutting off.
After a day of not driving, I had been driving for another 2 hrs and the same thing happened, but this time it died when I was stopped. It would turn over but would not start. I noticed a gasoline smell from the carburetor and it was 1/2 full of gas.
I had it towed home and replaced the distributor cap & rotor and the fuel pump relay. When I tried to start it, it would not turn over. My solenoid clicked but would not turn the starter.
I tried to push start it and it would not start.
I tried starting it again with the key and it turned over but still did not start.
My carburetor is still full of gas.
HELP!