1994 Buick Lesabre Please help

Hi, my name is jess and every time I stop behind someone and I go to go my buick shuts off and then today on the way to work it would be driving fine then at about 30 mph it would act like I wasnt pushing the gas when I was! And anytime I try to accelerate it trys to shut off or it does shut off. I have already changed my coils so I know its not that. My stepfather inlaw seems to think its the fuel filter because we just changed the fuel pump about 2 - 3 yrs ago and the injectors were just changed about a yr ago and we are not leaking gas so its not in the line. So anything you think it might be please let me know asap because I can not miss work tomorrow. Thank you