It's really easy to check if the fuel pump is running.
Turn the key on, and you should be able to hear the pump hissing with the driver's door open. Or get a friend to stand by the right rear and listen for it. The pump is in the rear to the right of the gas tank.
It should hiss for about 3 seconds, then stop. just turn the key off and on, and each time the pump should hiss for another 3 seconds.

Along those lines, if you hear it run, then turn the key on/off a few times; this will prime the system, and may overcome a clogged filter enough to get it to fire. If indeed it does fire and run a bit, then the filter will be the prime suspect. But for that big ol filter to go from fine to totally clogged is unlikely.

Another member put it quite well the other day - make sure the ignition system is functioning before messing with the fuel system. So, if the pump hisses, try looking for spark. Easiest way is to use an old plug - pull a wire and plug in the old plug and lay it on the exhaust manifold. Turn the engine over and have someone look for spark.
But, you say it did fire just a bit - so may indeed be fuel.

If the pump does not hiss, then the relay is probably the culprit, as suspected. I can't remember if the '86 has the separate relay, or uses the MAS relay. The MAS is easy to spot. You can do a search here and see a photo. You can pull the MAS out and short the fuel pump wires to get the pump going - I can't remember the two terminals to short (old timers' disease), but I'll look it up.

DG