Try Bob's resistor bypass to eliminate it as the cause. During fuel pump prime/start up, the PCM puts the pump in high speed mode bypassing the resistor, then switches to low speed mode through the resistor after the car starts. This is why it starts, then stalls within a few seconds when the resistor is bad. If the by-pass proceedure doesn't change anything, then a fuel pressure test is needed to see if it's the pump or something else.