you can start isolating the fuel pump as the possible culprit by
1. listening to hear if it is running momentarily when you turn the key on, which you have done (but make sure that the system has had time to depressurize, otherwise it won't run even enough for you to hear.)
2. test the fuel pump relay. simplist is to swap another relay that you know is working in the fuse/relay box in the engine compartment. there are many relays there that are all the same. i think you can swap the horn relay (look at it to make sure. take the fuel pump relay, put it in the horn relay slot and see if the horn works. yes? then relay is good. no? ...
put the horn relay in the fuel pump slot. fuel pump works? if not, and you know the relay is good, start checking wires and connectors. it is not unusual for the fuel pump connectors at the top of the fuel pump to become corroded and/or for the wires to come loose. get a flashlight, get a mirror, get a crooked neck and check it out.
then, and only then, if all else fails, even consider dropping the fuel tank and changing out the fuel pump. not necessarily a high-tech job, but not pleasant.
for more info, my guess is that the FAQ link at the top of the thread may have more info. also, you might consider going to
www.planetisuzoo.com and search for poster
bendorfold and fuel pump relay. he has a couple of instructive posts with photo's that show about the fuel pump relay and how to jump the connection to test the fuel pump
that's a start
hth
//bc