Engine will not start

Car stopped starting. I put in a new battery, had a new alternator installed, checked fuses under the hood and inside and they are fine. It started and after driving it a short distance, all the electrical parts of it stopped working (inside dash lights, blinkers, lights) and it started having trouble shifting into gears. After parking it and shutting it off, it no longer starts again. With the key in the on position it would make the dinging sound but not even begin to crank over when trying to start the engine. Then it just stopped making hardly any sound or display any electrical activity no matter what position the key was in. This has been an ongoing problem for about a year and I'm out of ideas. Seems like some kind of computer malfunction but I don't know hardly anything about technical issues of cars. Any ideas about possible next step fixes would be very appreciated! Thanks.