I bought my daughter a 92 Honda Accord LX. It runs fine but sometimes after being driven, it will turn over but not start. The drive indicator light on the dash also flashes at times. The car seems to shift and drive fine, just does not want to start at times. Today I replaced the ignition module and rotor and it did it again. Could the transmission indicator light flashing be the problem, main relay, coil, or any other suggestions.

It's good that you replaced the Ignition Control Module (ICM) and rotor. Be sure that you coated the back of the new ICM with a thin, even coat of heat-transfer silicone grease--otherwise, it won't last long. I would also replace the coil and ensure the distributor cap is in good shape. I recommend replacing ICMs and coils every 120,000 miles or 10 years, whichever comes first. These are two problematic components on this generation of Hondas. Be sure to also check for codes.

If the problem persists, perform the K-Test on the ECM.