i would do a fuel pressure test first. listen for a noise when you turn the key to the on position before starting the engine. try turning the key to the on position a few times, then start it. see if it runs okay or if it eventually just dies.
also, how old is the fuel? any fuel additives mixed in there?
2002 GT 5sp. 16x,xxx miles
Steeda Exhaust, C&L plenum, BBK Throttle Body, Steeda Underdrive, Steeda short throw, unknown stage clutch. Rear main leak. Compressor seal leak. Steeda lower control arms. good tires.