Pardon me - Cuervo25 is correct. I drove an Army jeep in 1981 and 1982 and it was always the carburetor. (Now I have and love a 2006 TJ and have no problems with anything -it is super.)

There was a problem electronic carburetor (started with B, maybe Cuervo25 knows) in Jeeps for a few years in YJs but that must have ended earlier than I thought.

Try this, if you haven't already - check the electrical grommet connectors at the top of the fuel pump module and see if they are plastic. If so, there could be a fuel leak because of corrosion. In 2006, a 1998 Jeep Cherokee recall was issued for this problem.