The first thing you need to do is better understand your trucks capabilities than just my truck can tow x lbs. (I learned this the hard way). Most TV are limited by their payload and not their towing capacity. To find out your TVs true towing capacities then you need to go weigh it. Load the tv up with all occupants, pets, and cargo that will be in it when towing plus a full tank of fuel and then go weigh it at a local scale (CAT Scale
). Weigh each axle on a separate scale pad so it will give you a breakdown of front and rear axle weights individually and a total weight. Take the scaled Truck weight and subtract it from your Truck gcwr (gross combined weight rating) to get your adjusted towng capacity (the loaded weight of trailer needs to be less than this). Take the scaled weight and subtract it from your Trucks gvwr (gross vehicle weight rating) to get your available payload. The loaded tongue weight needs to be subtracted from the available payload. You also need to know your RAWR (rear axle weight rating) and the actual weight of the rear axle (same for the front axle, FAWR). The tongue weight will add weight to your rear axle (although a wdh will transfer some weight to front axle and some weight back to trailer, the majority of the tongue weight will still hit the rear axle). You need to be within all of these ratings.
Next understand you will never tow an unloaded or dry trailer. Those numbers are somewhat irrelevant. You can either add the amount of weight of cargo you will tow to the dry weight (this is heavier than you think as most add 1000-2000 lb of gear) or simply use the tt gvwr to do your calculations. Being that this is your first tt, using the tt gvwr is the safer route for you. Next understand that the tt loaded tongue weight needs to be subtracted from your available payload. The loaded tongue weight is typically 13-15% of the loaded tt weight. For your purposes go with 13-15% of the tt gvwr. Hopefully this helps clarify some things for you.
ps if you can't get to a scale look at the tire loading sticker in your door for "all cargo and occupants not to exceed x lbs". subtract the weight of family and gear from that and you have a rough payload. you can work backwards. if you have 800 lbs available payload then you are looking at no more than 5300 lbs loaded weight (800 lb payload/.15 for tongue weight percent=5300).