I remember when I had keys made for my Contour I didn't know about the PATS and the keys weren't programmed into the system. I went to start the car and the starter cranked the engine but it never fired up. The PATS disables the ignition and/or the fuel.
The fuel pump can be hard to hear. It only runs one to two seconds, not very long and the sound of the chimes inside the car can drown it out. Some are quieter than others depending mostly on how much fuel is in the tank and the condition of the pump. If the tank is full the fuel will prevent the tank from vibrating with the motor and it will sound quieter. This auto-run of the fuel pump for a second or so when you turn the key is supposed to work every time you turn the key on, but you need to wait a little bit before trying it again so the system can reset.
If using a jumper wire from the red wire to the grey/white on the connector to the ignition switch and nothing happened then that means that the problem, what ever it is, lies between the ignition switch and R6. The only thing in the grey/white wire between the ignition switch and R6 is the starter relay diode. Test the positive and negative circuits between the ignition switch and R6 like this. (1) Check the resistance on the socket that pin 1 of R6 fits into and the negative battery cable. (2) make sure you remember how it came out and remove the starter relay diode and put a jumper in its place, remove the connector from the ignition switch and check the resistance between the socket on the ignition switch connector for the grey/white wire and the socket that pin 2 of R6 fits into.
If you made the connection between the red and green wires and you had dash lights and you heard some chimes going when you did then that means that the red wire indeed has battery power going to it.
From what I gather from reading the wiring schematics there are no electronic control units (computers) involved in the starter circuit.
The fuel pump circuitry, It would be about a whole page to list all the things that are involved in the operation of the fuel pump, not to mention that 2 computers are also involved in it, the PCU and the ECU. Here's a list of the circuit controls in the system there are, relays: R16, R11, R8; Fuses: 1,2,4,9,10,14 and 30.