The keys shouldn't need to be recoded and you can't do it anyway after 2013 because the way the security works needs to go online to the Ford server, even with ids i can't do it. (Ford diagnostic software).
Configuration options can be done in sure but if you aren't familiar with it then it needs to be someone who knows.
If you need to take it to Ford on diagnostics then they charge by the hour and I'm sure sorting the keys and the tow bar configuration at the same time will fall under the hour.
Unless they have a set free for keys?
When you cut the wire can you be sure that you didn't short it to earth and blow a fuse?
I'd check all the fuses.
F39 main fusebox.
f1 and f2 bcm.
But check them all.
56 350 2.2 130ps mk7 with 2 side doors
65 290 2.2 125ps custom with 2 side doors
07 350 170ps
Ids v86 licence + v86.04 update + xprog
hereIds map
here