2000 Neon won't start the battery has full power but not even a click from the starter when the key is turned?

Could be the auto shutdown relay or the circuit. or a bad starter. pull the plug off the ign coil and put a light tester in the middle port . If it doesent light up than it did not ground you autoshutdown relay. Bad relay or bad circuit. Turn your key forward and listen to see if the fuel pump pressurizes. If you don't hear the fuel pump that probably means your auto shutdown relay has kicked on. If you had to power to the coil in conjuction without the fuel pump pumping than a short in your ignition circuit or faulty component is triggering your ato shut down relay.