The whole problem must be in the accel pump. Ther ought to be enough gas in the bowl for about 24 hours to start it by pumping the gas a few times. If the plunger is OK. you might pull the T out for the check ball. There should be a little spring & ball under the T. The ball should not be stuck to the bottom. Just because its a "reman" starter doesn't mean its right. About half of them aren't.
