If the PCM turns on the fuel pump when you bump the starter it means the PCM is getting seeing that the ignition is working. If the PCM doesn't see the engine turning (ignition) it won't fire the injectors. Your engine could have ran on the stuck on injectors for that short time, perhaps.
Check the voltage on the pink wire of one of the injectors during cranking. Then check the voltage of the other wire of the injector during cranking. If you see the second wire dropping about 4v as compared to the pink wire during cranking that will show you that the PCM is firing the injector.
[This message has been edited by phonedawgz (edited 01-02-2012).]