You could try pulling apart the 4 pin connector. Check power at the green wire brown is the earth, while hitting the start button. This 4 pin connector is a known problem of the fuel pump failing to operate. I have just replaced mine after no problems after twenty years then all of a sudden it started to play up. DeoxIT can sometimes fix it, otherwise replace with a quality waterproof one. If you have power on the output side of the 4 pin connector you can try applying + power to green and - to the brown wire gong into the pump.
Regards Martin.