1992 Honda Civic electrical problems

I recently had my electronic distributor replaced. A few days later I stopped receiving power to the radio/clock while the car is moving (it comes on when the car is on and stopped, but goes off when the gas pedal is pressed). After a week of that, today my battery light came and stayed lit for a five minute drive, but my clock had power at the same time. I had the alternator replaced about five years ago. Do I need a new one?