bimbo5.7

I have 02 trans am. Auto.5.7 My car runs for 10 min. & turn off . I check fuel pressure Is 58 psi. No lights going on on dash.it just cut off . Try Start again .wont Start .after couple hrs. I already change fuel filter. I dont know what it Is..When the car shutoff the"check gages light goes on... But when I try to Start back up..it fills the pressure @ 58 psi.one time But doesnt keep the fuel flow. I replace the fuel pump & still turning off the motor.

What does the pressure fuel sensor has to do whit it...