I've had to put the jumper across the fuel pump relay (with a switch) to make mine run. I'm pretty sure something is fried on the computer. I can't get the computer signal that tells the fuel pump to run for 2 sec prior to turning the key all the way to start. Runs fine this way but I do not have the safety of having the fuel pump automatically shut off when the key is off. Not worth $150 + to get this problem fixed.
This isn't really a big problem but I may be headed for bigger problems if the computer is starting to go.
You can do a jumper on the OBD1 connector instead, and fuel pump will come on and go off with key on and off
Look here:
https://www.therangerstation.com/tech_library/OBD_I.shtml
You can see the OBD connector and the Fuel Pump Slot labelled
That slot has the computers Ground for fuel pump relay(pin 22) and then a wire from OBD connector to the fuel pump relay's ground pin
Put the fuel pump relay back in, and turn on the key
Then Ground that slot, the fuel pump relay should "click" ON and fuel pump should start
Turn off key and fuel pump will stop running
If grounding that slot does NOT turn on fuel pump relay(key ON), then you have a wiring problem not a computer problem
But test if computer is grounding that slot first, put a test light in that slot and to Battery Positive, turn on key
If test light(or volt meter) comes on(for 2 seconds) and then goes off computer is grounding that slot
Then, with key still on, use voltage meter(or test light) from that slot to Ground, should see 12volts coming from the fuel pump relay, if no 12v(key on) then that wire from OBD slot to the fuel pump relay is bad/broken