What will cause the car to start and then not start?

If you turn the key and there is no cranking, but the lights and radio work, as well as dash warning lights -- but different ones at different times -- it sounds as if either there is not enough electrical power to crank the starter motor or there could be some electrical ignition switch issue. First, start by testing the battery for state of charge and the ability to sustain a load. If the battery tests good, pay particular close attention to the cables attached to the battery -- is there corrosion? Are they loosely attached? I would remove the cables from the battery, clean them and re-secure them. If this does not help, then I would turn my attention to the key position and the ignition lock cylinder. Do dash lights change -- in as much as what works and what does not -- when you turn the key multiple times? There could be an issue here or electrically in the steering column. Beyond all, hands on, step-by-step testing is needed to find out what is happening.