Internet search says the curb weight of your vehicle is from 5269 to 6074 lbs. Not knowing the actual weight (weighing it as previously suggested is wise), lets assume it weighs the maximum of 6074 lbs. Gross vehicle weight rating is 7,200 lbs. minus the curb weight of 6074 lbs. that leaves a payload of 1126 lbs. before you add fuel, passengers, and gear. Your vehicle has a 31 gallon gas tank times 6 lbs per gallon equals 186 lbs. now leaving available payload of 940 lbs. Two adults weigh about 300 lbs. now leaving available payload of 640 lbs. Kids and dog probably weigh about 200 lbs. now leaving available payload of 440 lbs. Another 100 lbs. for coolers, and other gear in the vehicle now leaves available payload of 340 lbs. The tongue weight of that trailer will overload your vehicle.
A 23 foot to 26 foot trailer will be a much better choice, will be more comfortable to tow, and will fit into many, many more campsites.