1990 Acura Legend Question: car stalling while driving slow or stopped, after I hit a pot hole

My 1988 Acura Legend used to have stalling problem while driving slow or stopped. And about three weeks after that problem appeared, my alternater went wrong and drained my battery and I had to put a new one in. After I put the new alternator in, both problems dissapeared, until last Friday I hit a pot hole and my car started stalling like that again. It happenes like this: first I slow down or stop, and the engine started jerking and I can feel the uneven strong shakings from the engine, and then it dies. And if I restart the engine, it will die again within seconds unless I hit the gas. Does that sound like the flywheel had been messed up by that flywheel, or it maybe something else?