My Jetta starts fine. As I take off in 1st gear to shift to 2nd it hesitates. on 1991 Volkswagen Jetta

Sometimes will die. Then it will take 3 or 4 cranks to start. Help? I put in New battery. No engine light on.

Asked by for the 1991 Volkswagen Jetta
I don't know milage or engine ,I going today/bad fuel pump ,judging on year of car ...