Code P0343, CAM sensor

Well the first thing is doing testing to verify the powers and grounds for those sensors and for the throttle body. For that a simple multi-meter to verify that there is the 5 volt bias voltage at the sensors and throttle body. I've attached the wiring diagrams, if you right click on them and open in a new tab they come up much larger. The end boxes are the power-train control module connections. The ones that can effect all the sensors and the throttle body are the 5 volt reference feeds and the Low Ref lines (AKA sensor grounds).
Inside the PCM those are interconnected with the 5 volts all being together and the low references all sharing a common ground. As most other items are working that also use those items I would suspect the issue is out in the harness under the hood and not in the PCM itself however a loose ground to the PCM can cause issues as could a bad battery connection as the module then has no real ground reference.
You posted originally that you had a single code, then you removed the cam sensor and suddenly had multiple codes. Did the throttle code pop up at that time or very soon after as well? If yes then it's possible that the cam sensor you moved is the issue. To test that, unplug it, clear the codes and see if the engine will start and run and set only the code for that sensor. If it does and the other codes go away it could be the cam sensor is shorted internally. In that case replacing it should take care of the issues.