First, what year firebird are you working on?
Second, it sounds like you don't have the power/ignition connector plugged into the distributor. There should be a two wire plug to hook up to the distributor, look for it. The other connection on the dist. is for a tachometer.
If you have an early model firebird (late 60's or early 70's) It won't have a connector for the HEI as it was a point type dist. You might want to use the original point type or convert the harness to HEI.
Until we find out what year your working on, the fuel delivery problem will have to wait for further information.