Is there a cheat to install a fuel pump?

Question edited for clarity.
Question moved to Category.

Torque and sequence

https://www.2carpros.com/questions/rocker-arm-assembly-torque-specs

Cam Belt Timing

https://www.google.com/search?q=2003+Mitsubishi+Eclipse+GS.+Cam+belt+timing

..

Repair your vehicle right away. Just click on the link I attached 2003 Mitsubishi Eclipse

check electrical connections

never replace parts till u kno the solution--it cud be a fuel pressure regulator or bad filter------or it may be bad ignition wires or module----get car scanned 1st then test for fuel pressure and spark

Since the engine cranks, the battery, starter motor/starter motor solenoid are most likely
good, so suspect everything else on the list. When you narrow it down, re-post with a
more specific question about that particular component, since 100s of components must operate
nearly perfectly for a vehicle to actually start.

Priority Action Part Type -- Cause
1 Inspect Battery -- Battery Discharged or Faulty.
2 Inspect Battery Cable -- Corroded, Broken, Shorted or Poorly Connected Battery Cable.
3 Inspect Battery Cable Connector -- Broken/Corroded/Loose.
4 Inspect Fuel Filter -- Clogged or Dirty Fuel Filter.
5 Inspect Ignition Coil -- Faulty Ignition Coil.
6 Inspect Wireset (aka Spark Plug Wires) -- Worn, Damaged or Faulty Spark Plug Wire(s).
7 Inspect Spark Plug -- Incorrectly Gapped or Fouled Spark Plug(s).
8 Inspect Starter -- Starter Motor Faulty.
9 Inspect Fuel Pump -- Low Fuel Pressure.
10 Inspect Solenoid Switch -- Faulty Starter Solenoid Switch.
11 Inspect Fuel Pump Relay -- Faulty Fuel Pump Relay.
12 Inspect Fuel Injector Pressure Regulator -- Faulty Fuel Injector Pressure Regulator.
13 Inspect Ignition Switch -- Improperly Connected or Faulty Ignition Switch.
14 Inspect Starter Drive -- Faulty Starter Drive.
15 Inspect Fuel Injectors -- Dirty or Worn Fuel Injectors.
16 Inspect Fuel Pump Strainer (inside fuel tank) -- Clogged or Dirty Fuel Pump Strainer.
17 Inspect Engine Control Computer -- Incorrect Operating Information Being Delivered and Sent From The EEC (faulty computer)
18 Inspect Fuel Tank -- Fuel Tank Empty.
19 Inspect Carburetor -- Carburetor Flooded or Faulty Choke.
20 Inspect Distributor Cap -- Worn, Loose, Cracked, or Incorrectly Installed Distributor Cap.
21 Inspect Distributor Rotor -- Worn, Loose, Burnt contact surface
22 Test/Inspect Neutral Safety Switch -- Faulty Neutral Safety Switch

if u did all that and u still can hear the fuel pump run then u need to replace the fuel pump

well it has to be a short to power , pinched wire ,screw installed through fuel pump harness, bad connector or excessive current draw , where are the wires you jiggled be a good place to inspect

Did you check the fuel pump or fuel pump fuse?

assuming the starter is good and the engine turn over fine but will not fire or run. when the car die, check why is it so hard to start. check if you getting sparks and fuel, no sparks check coil and wires,and if both are good than the cam sensor is bad, no fuel, check the fuel pump, pump good check the crank sensor.

your fuel pump relay is located next to the Master Cylinder,
you have three relay the close to the master cylinder is your fuel pump relay.

Let me know