Water dripping from the car wash is probably a clogged sunroof drain. If you open the sunroof you should see a drain on each side. A little compressed air usually unclogs them.
I had to replace the passenger temp blend door on my 2011. Passenger air was always hot instead of cold. I did not make any adjustments when I swapped it. It was the one to the left of cabin air filter with a giant bundle of wires right in front of it. Pain in the butt to replace unless you have tiny hands, but only 5-10 minutes of cursing are required.