No responses seems to indicate that you may be the only one here, at this time, towing an Elantra, or maybe even any model Hundai. You might find someone with more wiring experience on one of the broader forums, such as IRV2.com
It would appear that you have resolved your issue. Sorry you didn't get the kind of response you may have expected.
I think we need to stop calling it "working from home" and start calling it "living at work!"