A few people have had a loose connection on the pump. It isn't grounded through the frame...it has ground & power both in the wiring harness. Without a pressure tester it's hard to tell if the pump is good, but you tested it with a new replacement so I'd assume it's OK. The wiring, relay and fuel pressure regulator (FPR) might not be good though.
You also tested for spark, right?
You can also test the entire system by pulling the fuel pump relay, key in position II, and shorting the socket terminals 30 & 87 with a short bit of wire. The pump will kick on, FPR will open & send fuel back to the tank. You should hear that clearly (I was surprised at how loud it was, but you can't hear it over the motor normally). Ideally, you'd have a pressure gauge inline to test the fuel pressure at the rail.
I was hoping the car would give you an AFM code, but it thinks all is clear. Based on your answers I have three guesses about why your car isn't starting:
1. The FPR isn't keeping enough pressure in the rail.
2. The fuel pump relay or fuel pump plug isn't 100%, so the pump isn't developing full pressure.
3. The crank sensor is good, but dirty, bent or too far away from the trigger wheel. That sensor is responsible for a lot of no-starts with a 1444 code.