Computerized module environment. Please don't go trying to splice anything in, when the correct harnesses/plug & play solutions are available for the kJ & KK.
The wrong load/ short or incorrect wire placement could= a very bad day.
Always disconnect your battery before doing any electrical work.
Here is the correct e-trailer part # 118554 for the 2008+
Install video is bottom left:
https://www.etrailer.com/Custom-Fit-Vehicle-Wiring/Tekonsha/118554.html
Few comments: IDK why they supplied a black wire to the+ battery, when it should be red.
Possibly consider adding some split wire loom tubing over top, to further protect the black wire running all the way to battery.
Also the butt connectors, I'd prefer to place heat shrink tubing, then solder the wires together for a much more reliable /waterproof connection.
The auto heat shrink tubing is ok.
The best sealing heat shrink tubing is a marine grade made by Ancor.