Cold starting car is fine. after driving and shut off it's hard to restart and stalls out?

i had the same problem with my car i had to change the fuel pump

have had to do this many times first i would check the fuel pressure regulator it is located in the fuel rail

remove the small hose, vacume line see if fuel comes out of it if so it needs to be replaced

on intrepid at the back of the motor hard to get that's where i would start if no fuel leaking out of the hose or the regulator then i would do a fuel pressure test cold and hot to see if there is a leak down problem for some reason the fuel is leaking into the intake making it hard to start hot good luck also could be fuel injectors fuel pressure should tell if you know how to do a leak down test