Well per the WJ owners manual, the recommended towing capacity of your GC is 6500 lbs so the 5k dry weight is under, however you will have additional weight from food, clothing, bedding, etc. so don't just think that because you don't have water and propane that you are at the dry weight. Load your trailer as you would for a trip and head to a scale, get an actual weight then you'll know what you're dealing with. There are other things to consider to. You'll want to add a power brake controller to your rig. Also may want to look into a load distributing hitch with sway control due to the size of your trailer.
Mine - 2004 Unlimited Red 5.7L HEMI, NV241 4:1, RE 5.5" Long Arm, 35's on Champion Beadlocks, MetalCloak fenders and front bumper, Hanson rear bumper, 4.88's, ARB's, Alloy 33 spline D44 shafts, HP44 hybrid front w/ WJ outers, D44 rear ... and to much more .
RED JEEP CLUB #436