Ok My Guess
Had the same prob with my 80 sat 13 years .
was the fuel Injection relay > Pay special Attention to this relay make sure your looking at the right relay . ( I would put a brand new one in ) now still not working >
Pull the fuse panel down but not off .
*Replace all the Non Copper or Brass Fuses with such Copper or Brass
* Look for green Color Corrosion and remove ( Brass Brush >Cleaning fulid then compressed Air )
* Examine the Back side of the board paying "special Attention " to the Fuel Injection Relay hook up wires . Look at all the wires very close ( down to the hook up point ) Look for Green
Corrosion . they get Corrosion right inside the Hook up point as well .
Check everything that has to do with the Fuel Injection relay .
If the Car starts with gas poured in the Car should run if the relay cuts in when the Key turns back to Run Position .
2
Ignition switch :
if the switch is bad the same thing can happen
get that sorted out and it well start right up
Note unless you make a Puller you well damage / Brake the relays as you try to remove them.
If the Prongs are Green then there is Corrosion inside where they where pulled from .
Blow cleaning fluid in to clean Compressed Aid to blow in and Dry .
Are a huge amount of wires so go Slow > only work on one small area at a time . fix then move on > very easy to get mixed up > reference Photos are a help .
Aluminum Fuse's are no good < Galvanic Corrosion make the Green >
Smoke from the ballast Resistors < that's Normal from a bit of oil that gets on them > you can clean them .
Look for Oil residue on the inner fender panels ( like drivers side )
any on your fingers when you rub ? Pressure wash the whole area and Blow Dry .
you may find something here
remember to go slow with the Panel wires > you can work the relays out with a Bent Pry slipped under > if they brake replace them .
Cleaning fluid : I use Calibrator or throttle body spray fulid