How did you check the pick-up?
Do a fuel flow test with a warm engine. The engine will run waaay long enough to do the test, if the fuel bowl is full at the beginning of the test. If the engine stalls you can refill the bowl through the bowl vent using a tiny funnel.
1 qt, in 1 minute or less, at idle.
If you don't get it, it doesn't mean the pump is bad; it could still be a restriction between the pump and the gas in the tank.
If you get air coming out, well, that's not supposed to happen.