182k miles is a lot. I always ask about timing belt replacement. (I'm not sure about the Kia, but when I buy a car that uses a timing belt, unless someone can prove when it was replaced, I replace it.)
LIGHTS - Ask how its wired for lights. On older cars you can get away with simply tapping into the front turn signals and marker lights. I install a four flat connector on the front of my cars, the same connector thats on the back that a trailer plugs into. Then use a four connector male-to-male cable to plug into the MH and then plug into the front of the TOAD.
Using steering (blocking) diodes and wiring directly to the rear lights is a little better option, (And may be the only option if your TOAD uses a body computer to control the lights)
BRAKES - Yes, you should. No, I don't.
My Civic TOAD is light, 2500 lbs, If my TOAD was 3 tons, yes, I would also have brakes on it.
Brakes offer a safety factor in the event of a break away. So lets prevent a break away from happening;
A proper hitch receiver offers the first line of defense. Lock pins offers the second, two separate safety chains offer the third and fourth line of defense.
If those four components fail, OR -
more likely, are not connected or utilized, then the brakes will offer the fifth line of defense.
Brake discussion will bring out opinions from all corners. Stand by