Jeep Wrangler 2010 Problems

As you have tried all avenues open to you, the dealer, the manufacturer and the consumer affairs people, the only course left open to you is to take direct legal action. Before you do, however, I would suggest you go back to the dealer and ask to see a representative from Jeep so you can sit down and discuss your concerns face to face.

There's no reason to be putting oil in the gearbox, so the oil should still be the original factory fill. If you want you could drain a sample of the oil and have it analysed to identify what it is. I suspect the problem is related to its heavy off-road use rather than the wrong oil being used.