You indicate that your '92 DOES start, but will not run. I suspect it runs for 1.5 seconds, and then acts like it 'runs out of gas'. That's becasue it DOES run out of gas. The alarm module (EEU) thinks the car was stolen, and cuts off fuel.
Now that your battery is charged and assumed good, (assumed by the fact it starts) you should be able to reset the EEU:
Use the fob to turn alarm off.
Disconnect the battery underhood for about 5 minutes.
Then reconnect.
See if it starts.
If not, your fob and EEU may unfortunately need to be reprogrammed a dealer.