Joe,
Carbs can be difficult beasts - they do many things, both at once and at different times, and I don't think it's unusual to have to go through it twice or three times before you get it where it's supposed to be.
I agree with Joe H - test the fuel flow first, because without good flow, the best carb won't work right. So get that out of the equation first.
You should definitely get a squirt when you goose the throttle (looking down the throat of the carb, air cleaner off, engine not running). And the problem you describe DOES sound like the accelerator pump failing.
But check that fuel flow first. Pump may not work because there's not enough fuel in the bowl!
-Michael
