Just picked up an '03 gt (5 spd) and it runs like a champ...only issue is when I go to start it, more so when it is warm, it sometimes turns over for several seconds before starting and occasionally has a sloppy start. It also (when starting) will go to about 2k rpms, then drop to about 500, then rise and idle at 1k. My buddy with a 96 gt said he experienced a similar problem and it ended up being the fuel pump going bad. said to check the injectors as well but wouldn't the injectors cause noticible issues while driving? This is really only a start-up issue. Any ideas?? Also if it is the fuel pump would turning the key in the ignition a few times before starting tell me if this is the problem or not?

 

It very likely is a fuel pump but also check and clean your mass airflow sensor.