35 psi may be too low for the engine to run. Find out what the psi is supposed to be and compare the reading you got. Dont replace the fuel pump before you test the pump and verify that the fuel pump is getting 12 volts of power and has a good ground.
Always check the circuit for power and ground on electronic parts’ circuits because if there is a poor electrical connection or a broken/damaged wire, you will end up replacing a part that is in working order.