As said above the Fuel pump relay is not part of starter motor wiring.
When you turn the key on the EEC relay in engine bay will close, this sends power to EEC(computer), fuel injectors, ignition system, and Fuel pump relay.
The power it sends is from a 30amp fuse, EEC fuse
Fuel pump relay has no Ground so even with power it will not close, computer controls the ground for the fuel pump relay.
Computer should Ground FP relay for 2 seconds each time key is turned on, as you said it Primes the system.
Power it sends to fuel pump is from a 30amp fuse, FP fuse
Clutch switch allows power to pass when it is closed, pedal is down all the way.
For starter motor this means when key is turned all the way to START the ignition switch sends 12volts to clutch switch, if it is closed then that 12volts pass thru switch and goes to Starter Relay, starter relay can be on the inner fender or on the starter motor, in the early '90s Ford combined starter relay and starter solenoid into one part on the starter motor.
Earlier starters just had one larger cable and solenoid on the starter motor, later models had larger cable and smaller wire, from clutch switch, to activate starter relay that was now built in to solenoid/starter.
There are also other wires on the clutch switch, these are for cruise control(disengage), 4WD low(if 4WD)