Check voltage and ground at fuel pump, pink wire is voltage black wire is ground. The initial prime is only for key on engine off, lasts a couple seconds. You use a testlite to check voltage and ground.
Check voltage and ground for fuel pump relay. Also, you have an inertia switch, you have to check that.
For testing, you can use jumper wire at load side of fuel pump relay, the load side is that line with the arrowhead. When relay is energized that line moves to the other terminal and sends voltage to fuel pump, just unplug the relay, use jumper between terminal 30 and 87, terminal 30 is hot all the time.
The voltage and ground for the control side of relay is controlled by computer I believe, If the control side is the problem, I'd have to check wiring circuit and computer.
With engine cranking, you have injector pulse, also?