I've used the repair kit from my local NAPA dealer which does include the accelerator pump.
Rebuilding this carb is simple, just take your time, place the removed parts in a logical order (where they can't roll or fall or otherwise get lost!), clean the orifices w/ carb cleaner (wear latex gloves for this step !), adjust the float, and reassemble with the carb kit parts.
Unless you can see that you're getting a good flow of fuel, checking this is a good idea as well.
Good Luck!