I strongly suspect that anything u-Haul makes will be more universal than not. I'm suspecting the trailer will be more than 1K lbs in weight? What tongue load?
In general, any unibody car is not highly-regarded for trailering use, as a body-frame construction car usually is. Reason? Although there are "frame rails" at the back, they are welded to the car rather than being separate, which means they are like a reinforced area of the car body rather than a dedicated attachment point at the end of a dedicated frame (where all pulling torque is applied). Which is why there are no UniBody 3/4 ton pickup trucks.
From a MOTOR TREND magazine from the later 1960s, the BUMPER should not be the focus of where the hitch is attached, but the rear section of the rails, with some heavier-duty hitches also having some additional attachment points farther forward, near the rear wheels, by best results and to spread the torque forces better.
When the cars were new, many people did use them for trailer towing, up to about 12K lbs, WITH a hitch designed for such. Specifically engineered for the specific car platform, which I suspect any newer hitch probably not be.
Tongue weight is important and could well require some heavier springs to keep the car level when towing. IF you still have the owner's manual, READ IT for factory recommendations.
Back when the cars were newer, many people towed "trailers" with them, usually lighter-weight utility or "camp" trailers. When you saw one with anything bigger, you KNEW it had been rigged for such. In later years, many have moved to HD2500 pickups for any trailer towing use. MUCH better brakes and a suspension that can easily handle the additional weight, plus bigger engines to maintain speeds on hills. AND rear wiring harnesses which support "trailer wiring" at a dedicated junction in the connectors.
If you want to add a 10' utility trailer and a good zero-turn lawn mower on it, that'll be close to 1K lbs combined, so that should be fine. But I suspect that is not your desire.
Just some thoughts,
CBODY67