I'm not trying to hijack the thread, but I'm in a similar situation myself ... :-(
Just bought a 84 Fiero myself ... was told the fuel pump was bad ... and installed a new fuel pump in the last few days ...
Anybody want to buy a Fiero parts car in Canada ... Toronto actually ... :-(
The fuel pump was a pretty tough job in itself ... but I'm still having problems ...
Is there any additional information I should be researching for troubleshooting or for priming the fuel system?
I  attempted to prime the system without sucess ... at least 10 - 15 times ... so far ...
I hear the new pump start up in the tank for the 2 seconds each time  I turn the ignition switch on ... but no gas being pumped though ...
No pressure / gas in the line before the gas filter or at the carburator ...
On reassembly, the larger pipe was obvious, and I marked one of the smaller pipes to avoid confusion  ...
It doesn't appear that anyone has worked around the gas tank for years ...
As much as I'd like to be able to fix up this little Fiero ... its starting to be a very humbling experience ...
I've just about had it ... but still want to give it a shot to get this fuel pump problem taken care of ... and move on ... or just throw in the towel ...
This one has me stumped ...

Yes ... I did ... the origional had been in for a very long time and was very swollen/distorted ... almost as if it the wrong tube was used,  that wasn't designed to be used with gas ...

I guess there is just no way around it ... I'll have to drop the tank again and inspect everything ... or just give up and sell it as scrap ... :-(

I hadn't thought of that hose before you mentioned it ... but I'm SURE it's OK ... I remember it as being very tight going on ...

If I can psych myself up to get under the car again ... I'll inspect everything ... and take a picture  when its out in the open ...

I think we're getting pretty close ...

I dropped the tank this morning ... had a look inside ... could be a combination of wiring or a defective replacement fuel pump?
Just ordered another fuel pump ... a Bosch 69237 ... it will be ready for pickup first thing in the morning ...
It should be quite a bit better than the Delphi I put on origionally ...
I did a bench test on the Delphi ... and a small gas stream flowed out ... very low in volume and pressure when running on a direct 12V source ...
The wiring seems quite a bit different on the 84 as well ... the Black single wire is the ground wire attached on the outside ... and the 2 (paired) light coloured wires going into the tank are for the 12V feed and the fuel gauge sender.
One wire from the pump will go to the 12V feed, with the other (ground) wire attached to the metal tube within the tank as it was origionally ... 

I'll update you tomorrow after I pickup and install the pump ... at least I've now narrowed the problem down to pump itself, or within a few inches of it ...   

***Problem Solved***

I installed the new fuel pump ... there must of been something wrong with the origional replacement pump ...
I cycled the key 4-5 times to prime the system ... IT STARTED RIGHT AWAY ... no problem ... 
That was a big plus ... since its been sitting in my garage since I bought it ... and god knows how long since it was running before I owned it ...

Now I'll have my work cut out for me ... trying to fix up everything else it needs ... 

Thanks again to Xanth !!!!

My garage is getting pretty FULL now ... besides my daily driver ... I've got a 1954 Cadillac I've been restoring ... and now a 1984 Fiero 2M4 ...
Its the 1st time I'll be dealing with a composite body panels and a 'modern' electronics package ... 
The picture of my Fiero ... was taken from the Craigslist Ad I bought it from ... $350 CAN
The picture of my Caddy ... the beginning of this summer ... I've been restoring it for the last 3 years ... this is the 2 summer on the road ... after it was sitting for 20 years or more ...

Pretty well finished ..  roadworthy ... floats along the highway pretty nice ... 
Stitched  up a new interior for it ... usually wonky 50's colours ... kind of a olive & royal blue velvet like material ... 
Did a quicky paint job on it myself ... but I hope to get around to spending some time and doing it again ...
Still a lot of work to do on the Fiero ... next step will be replacing some of the metal lines and a complete brake job ...
The garage is getting pretty crowded ...
One of them will have to be out in the SNOW this winter ... and it won't be the Caddy ...