Congratulations on the install. Do you have any pictures of the tool that you purchased please?
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Regarding trailer coding: do you reckon your X computers know when a trailer is connected, if you haven't coded a hitch?

I can't remember where,but I think I read that there's some adjustments that the car makes when it knows it has a trailer. I think it might be adjustments in transmission shift points (?), and the DSC has something that applies the brakes & helps you out if it detects trailer fishtailing, amongst other things it does to help. I tow 4800# of rally car & trailer, and the stability stuff and towing safety/performance of the X is one reason I bought went for the X. Not sure if I'm enjoying benefits of DSC etc or not, but it was brilliant under semi-emergency heavy braking situations. Compared to my old mitsubishi towing the same load, the X feels like it's doing a whole heap of assistance in the background when under hard braking etc. For example, in the Mitsubishi, I used to have to use corrective steering to keep everything in a straight line under brakes; in the X, I just have to be careful not to spill my coffee!
Maybe your 0.5 of coding would be worth it just to be sure you're getting the benefits of giving all the computers the knowledge about the trailer being connected. Maybe as a test, you could pull one of the trailer bulbs, and see if you get the "Check trailer lights" message on your dash. I do. Not sure if this confirms you've got a properly configured hitch, but if it doesn't work, it's possibly a sign that you need coding?
Cheers,Scott