2002 Mazda Protege No radio or interior lights or working r

I recently had to change the battery in the car, the following day the car would not turn over when the key was turned. The dash lights (warning lights) all flickered and nothing. I turned the key again and the car started. Later that day I went to start the car and nothing happened at all. I push started the car and it started right up, then within 5 minutes of driving the radio went out, the interior lights went out and the remote quit working (the remote was discovered later). When I parked the vehicle and tried to restart it nothing happened, I had no exterior lights or anything. Today the car started and has been starting, the battery and alternator all check out good. Still no radio and no int lights or remote. All fuses are good.