Re: P0205 code
Welcome to the garage.
Due to the number 5 injector not working, the engine will run rough, so most probably by solving the injector issue, the rough, diesel like run will, be solved.
This can be the injector itself, but also wiring (open or shorted) or the PCM.
You can measure the resistance of the injector first. I expect it to be around the 12-14 ohms, but you can compare it with the others to have a good average.
If ok, then you will have to measure the wiring. I donīt have a wiring schematic for your jeep, but you can measure 12V on one side, when the ignition is in run. This 12V will only be there while the auto shutdown relay is energized. When you donīt start the engine, this will only be for a few seconds a time, so you will need a helper for this. If 12V is ok, then measure the wire which goes to the PCM. It should have continuity, but not to ground (shorted). If this all is ok, then the PCM seems to be the problem.