Doug, swapping the relay might tell you whether the relay itself is bad, and therefore not providing power to the fuel pump. I totally understand trying to keep costs down and not replacing parts unless necessary. I went thru this with a 97 Dodge Caravan, so let me try to explain what I learned.
Relays are used to switch power on a high amperage 12V circuit using a low amperage 12V circuit (This page explains relays in more detail:
http://www.teamrocs.com/technical/pages/relay_basics.htm). So when you hit the horn, it sends a low amp signal to the relay which turns on the high amp horn circuit. Same for the fuel pump when you turn the key, the relay senses the ignition (low amp) is on and switches the high amp fuel pump circuit on. In my experience, if you don't hear the fuel pump spin up for a few seconds, it could be one of the following:
relay, fuel pump, fuel pump wiring, fuel pump ground, auto cutoff from PCM
Borrow or buy a cheapo multimeter that measures DC voltages and resistance (ohms) and confirm that you have 12V to pin30 of the fuel pump relay socket. If you don't have 12V to the relay, the cause is something before the relay (fuse, wiring, computer, etc.) and nothing after the relay will work.
If you have 12V at the relay, use a 6" piece of insulated wire stripped on both ends to jump between pin30 and pin87 (not 87A) in the relay socket. Be careful, as it could give you quite a shock. Jumping these pins with the key on should cause the fuel pump to spin a few seconds until it reaches pressure and automatically shuts off. Confirm that you hear the pump spin. If the pump spins, it proves that the wiring from the relay to the pump to ground is good. But it doesn't prove whether the pump is pushing appropriate fuel pressure.
If the pump doesn't spin, your work begins. Drain & drop the tank if necessary to remove the fuel pump assembly. With the pump out, you should be able to connect a car battery to the pumps positive and negative leads and cause the pump to spin. It'll have some fuel in it, and could shoot it fair distance, so connect the +/- wires to the pump first, then touch the +/- to the battery some distance away. I don't want to blow you, your dad and the garage to mars. If the pump doesn't spin, it's dead.
This overall technique can be used to diagnose any number of relay, wiring & circuit problems. After buying a new relay & used fuel pump on
http://www.car-part.com, the problem with my Caravan turned out to be a bad computer. I bought a used computer from the aforementioned site, swapped it in and the 'Van started right up.
Good luck, Eric