Forget about that 5000 lb tow rating.
When a vehicle gets rated for towing, it is rated without cargo or passengers. As you add people, pets, and cargo, your available payload (max cargo / passenger weight) and max tow capacity are going down, pound for pound. You might find your true max tow rating is less than a loaded weight of that trailer. If not over, but close, that too can be an unpleasant ride.
Vehicles have more than just a max tow rating. There are also ratings on the hitch receiver, tires, axles, and cargo carrying (payload) capacity. Normally, you'll run out of payload, before you get close to that advertised tow weight.
There is a tire / loading sticker on your drivers door jamb. It will show you a max combined weight for passengers, cargo, and trailer tongue weight. The 80 - 100 lb weight distributing hitch also counts as cargo weight.
Check your door sticker and owners manual. There are many smaller vehicles that are limited on the square footage of frontal area on the trailer. There are some smaller vehicles with frames or bodies that are not recommend for use with a weight distributing hitch.
Loaded (dishes, lawn chairs, pots and pans, bedding, groceries, and water) for camping, adds 800 - 1000 lbs to the trailer's empty weight.
Average tongue weight is 12.5 percent of loaded trailer weight. Your loaded tongue weight would be about 550 lbs, plus 100 lbs for the WD hitch. If you and the wife have a combined weight of 350 lbs, your real world max tow weight is 4000 lbs. Less if put anything else in the car.
I don't think that trailer is a good match for your Hyundai.
18 Nissan Titan XD
12 Flagstaff 831FKBSS
Wife and I
Retired Navy Master Chief (retired since 1995)