For those that may not be familiar with the "Cobra" anti-sway coupler I believe that this thread is about the coupler manufactured by Al-Ko -
https://wingsandwheels.com/cobra-anti-sway.html.
Al-Ko makes most (all?) of the "trailering" components for your Cobra trailer, tongue, surge brake, coupler, jockey wheel, axle assembly, brakes, cables, etc, etc. Primo stuff! I don't believe that Al-Ko has anything to do with the lights and wiring.
Hope this helps.
Thanks, John OHM Ω