Nothing in the kit mentions a horn relay.
Where does the horn wire enter through the firewall?

The wire that's in the harness is too short to make it to the button and it has a female bullet connector on it, but there's no other wire with a male bullet connector to go to it.

Would the kit not provide that jump of wire from the female bullet connector to the horn button?

A wire is still in the steering column, not original, and it has a spade connector at the end of it popping out of the hole in the steering column near the bottom.

Also, our clip isn't there, it's just a hole.