I think you have a bad "multifunction switch". If you can figure out the turn/hazard signal wiring, you are doing better than I am. Look at the wiring diagrams in the service manual, how would YOU figure out where the issue is? I can't find the damn flasher, I think it's a function of the BCM but Im' unsure.

You can gamble and just change the multifunction switch - seems to work for most of us.