If you identified that the pump doesn't work you completed step one. Step two is to find out if you have power going back to the fuel pump. It sound like you have some help. So you will not need to make up a long jumper wire. You will need a test light. Check all the ten AMPS fuses. under the dash and in the main fuse box under the hood in the black box. One of the fuse will say fuel pump. There is also a fuel pump relay. Don't run out get parts yet. Replace any bad fuses. This leave the fuel pump relay. Jack the vehicle up and place stands under it. Go to the fuel tank. Have a friend put a long screwdriver to the tank. The other end to his ear. While he hold this position. turn on the key there should a hummer for a second coming from the tank. If not. It time to check if power is getting to the tank. You will find two sets of wires. one is the fuel send unit. The other is the pump wire. Turn on the key and fine the hot wire. this is the sending unit to the fuel gage. set these wire a side. Check the other two wires. There should be no power on them. Turn the key off. Pick one wire out of these two. Set up the test light to light up. Turn the key on. The test light should light for a second if it's the right one. If not repeat the same on the second wire. If it light up, then the fuel pump is bad. If the test light does not light up and you have test light with send unit to see if you still have a good ground. If the test fail to light up. Then it is in the wiring from the relay or the relay. In this case you replace the fuel pump relay. If you still don't get power to the pump. It is time unbolt or un-clip the main fuse and relay box so you can get under it to the wiring. Make sure you do not ground out the box. Test wiring at the relay on the under side. And look for burn wire melted together.
To check the fuel filter. Loosen the end on the engine side. Place a contain under and have a friend hold it in place. Turn the key on. A shot of fuel will come out of the filter. If not unhook the other side and try again. If no fuel comes out of thee line, then filter is okay. May as well replace it since you have it off.
There are several other areas that will cut the fuel of. Fuel pressure regulator on top on the engine. The crank sensor if it has on the crank or in the distributor housing. The last is the computer.
Most of the time it is the fuel pump 99.% of the time.