Stalling problem (Fuel Pump???)

My Girlfriend has a 95 v6 mustang. The other night was parking car sitting there idling and the car died. Tryed re starting it cranked over but did not fire. Only way to get it to start was full throttle the gas and start it still took a bit but then fired then would not idle had to 2 foot it. Started to drive car home and after about 45 secs car started sputtering then eventually died while driving. now car would only start full throttle and fire and stall immedietly. After about 5 min the car started up and ran fine. Car will not stall anymore but has a slight misfire and runs a little rough intermittenly really rough. What do you think Fuel pump???

No its my gfs 95 v6 it only has a cai on it other then that it is stock. I hooked a guage up and it read 32 at idle and spiked to 40 when you hit the gas. The car barely runs now and does not start all the time. It runs like crap when it does constantly misfiring and will not idle if I take my foot off the throttle it wont run and will not start if I dont floor the gas. The fuel pressure is erratic when misfiring.