I have a good old post about this problem, but the search function doesn't work for me and Google isn't helping either. So back to square one:
First, the relay is easy to find. See below. I assume pins 30 and 87 are the ones I have jumped with my homejob switch.
Regarding applying power directly to the pump, by "fuel pump socket" are you referring to the electrical connector in the trunk as shown below??
If you've properly identified the power source wires (double check Bentley for details-I don't have mine handy to verify your pins) and directly applied 12V, then you pump is pooched.
Questions:
a) Disregarding applying 12V direct to pump, this is a classic bad fuse or relay. Regarless of your pumps health, you should still have 12V at the connecter. Sounds like you've checked the fuse, so lets rule out the relay (which the above photo should help do).
b) Not sure I entirely understand the question, but IF properly jumped (again, see first photo), the pump will run all day or untill the battery dies (ask me how I know). When jumped, its more than loud enough to hear with the engine off.
c) I think you're dead on, it does sound fishy, which is why I would verify everything you've done so far. Then, if you're lucky, you only replace one, preferrably the cheap relay!!
d) Highly doubtfull.
Good luck and keep us posted.
Dave M