Ignition Module Issue

Any ideas or suggestions of what further to check
I had a 79 doing that. The Lean Burn was replaced with the normal Mopar parts, the car would start,run and drive.But when you stopped say for gas, just crank.Try by-passing the ballast with a jumper and see what happens.Also just resent had a coil go bad on a points car. Start right up,run for a few minutes then die.
My 2 cents.