The thing that sticks out to me is that you had to add a hitch. This likely means that your Liberty does not have a tow package meaning its limited to 2,000 lbs towing (from what I'm reading in the manual).
"Your vehicle is capable of towing trailers up to 2,000 lbs
(907 kg) without added equipment or alterations to the
standard equipment. Your vehicle may be factory
equipped for safe towing of trailers weighing over
2,000 lbs (907 kg) with the optional Trailer Tow Prep
Package." - 2011 Liberty Owners manual
Usually the tow prep package includes the hitch and extra cooling for the transmission at a minimum. You can probably tow that camper with your set up, but if you cook the transmission doing so, your warranty will probably be out the window.
You should see if the parts of the "tow prep package" can be added if you dont have them on your Liberty already. With some vehicles this is possible to keep the warranty, but others the manufacturer wont recognize the upgrades (for warranty claims) unless it left the factory with the tow package option.
