I bought a 1988 Honda accord that had similar problem. It remained unused for loong time, so started fixing the carburator problems one by one.
This is how I fixed my Hond Acoord Engine stalls.
What happened was that the float was not clossing the fuel inlet to the carburator completelly, so excess fuel were entering the maniful.
I noticed my car stalled when I put "D4" and also a small fuel odor after a short drive of 10 minutes.
I checked underneat the car from the tank to the engine and found no leaks.
Then I opened the carburator filter, turned the the ignition sw on, so I could heard the fuel pump running inside the tank, and observed how the fuel in the carburator overflowed.
Never noticed before because the overflow went to the intake maniful, not to the outside of the carburator.
I bought the replacement kit (Autozone PN 96-585) and changed the Needle and Seat Assembly, readjusted the float level through the glass window and the stall and fuel odor problem got fixed.
I tryed to adjust and clean the float and needle assembly first, but the failure came back a few hours later. So 37 USD is worth it.
If you check if the same is happening with your car, it may also be the cause for the won't start problem, since too much fuel is getting to the engine.
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Wednesday, September 30th, 2020 AT 11:19 AM