Fuel Pump Issues?

Everything is OK on this car.

It has run great for 5 years.

UNDER WOT now it runs OK for a few then it coughs and back fires. till I let off the gas.....if I wait a second then drive at normal highway speed it smooths out then its OK......until I come to a stop and sith there at idle for a few.

Under light pedal from stop it coughs and sputters and back fires through the carb like its real lean.

I have to pump the gas pedal at stop as while I sit there it starts to starve out.....Once I pump the pedal and get it going down the road under normal driving speeds its OK.

Like I said it seems like a fuel problem.
Newer carb edelbrock...2006.
Newer dist....Mopar Perf Electronic ...2006
Vac adv hooked up and working.
Idles at 900-1000 real smooth


Mop