When I was a kid, my dad towed our 30 foot bunkhouse Shasta with WD all over with a 1972 Buick Electra -- 455 V8 (that's 7.5 liters). Full body on frame. Towing capacity of that car? No idea. But you could not run the AC in the car because she'd overheat pulling the Shasta.
But, with a Panther platform car, the last body on frame American car that ended life in '11 or '12, was restricted by the transmission, brakes, and suspension. Will it tow the trailer? Sure. Safely? Not so sure.
I drive a 1996 Mercury Grand Marquis, 80k miles. Towing capacity is 2k. I have a hitch and have towed utility trailer but not much else. With a 6x10 utility trailer and a Polaris ATV, I can tell it's back there...rear end sags, takes longer to brake.
To sum it up: please be careful. WD hitch is a must. Trailer brakes/controller a must. Trans coolers a must. Just be careful !!!!