H3 Issues (SVC TPM, Trans Shutter, Rear Washer ETC...)

[f5fstop]

Only thing I could recommend is a new dealer. Those who are having legitimate problems with the TPM can get them repaired. It might require replacing all the sensors, and the BCM, but it can be repaired.
Rear washer...could the tech have installed the same one by mistake. I have seen this happen before, and by some darn good technicians too.

Off-roading should not misalign the doors, there is one strong frame under this vehicle. It should keep it very tight.

I can't say about the rest. It really sounds like a new dealer should be in your future.