Okay, it makes sense now.
Cable 2 or 3 goes to the kitchen light. It is connected to cable 4, so it
is on the switches. It should be (and presumably was) off the hot on cable
1.

Sadly, John was right; you will have to run a new cable to one of the
lights; it doesn't matter which. They are now on the same branch, and you
have to separate them.