I was told that the "main Relay was bad, because the car would run for a while, then die. Wait sometimes overnight before it would start. Ok I did this, the car ran fine in the driveway warming up, so I drove it to the store, I did NOT make it there. It died and had to tow it home again... The next day I tried to start it, and to my surprise it started. But soon died...
While it was running, it would not idle properly. It would rise and fall, from around 900 rpm to about 1500rpms. This is where we stand now. It won't start. But if it does start the idle raises and falls at regular intervals. Any one have some answers to help this ole Honda man?

Replace the Ignition Control Module (ICM) and coil:

https://www.askmehelpdesk.com/cars-trucks/faq-how-troubleshoot-repair-maintain-hondas-selected-other-vehicles-46563-4.html#post265896

The ICM is the likely culprit, but I would replace both as a matched pair.

This link should provide perspective on your problem:

https://www.askmehelpdesk.com/cars-trucks/faq-how-troubleshoot-repair-maintain-hondas-selected-other-vehicles-46563-3.html#post260436