Newbie Safety Guidance Requested

That 7,952  is for the camper alone. You are lucky in that many trailers are built with vary little cargo carrying capacity. But you're seems to have quite a bit available. And yes 1,763 is the total weight of cargo left available to put in the trailer. Of course the dry weight means no water and probably no batteries or Propane.
Water is 8.33 lbs per gallon. So a 40 gallon tank will weigh 333.2

Don't forget the 6 gallons in the water heater 49.98.

Two 40 lb propane tanks 72 lbs each

batteries 40 - 60 lbs each

So it you had 40 gallons water, a 6 gallon water heater, two full propane tanks and two 6v batteries you're looking at around 650 lbs. 1763-650=1,113 lbs available for your stuff. That is pretty respectable for a travel trailer.

Last thing. the best thing to do is to load the trailer up fr camping and go find a truck scale in your area to weigh the truck and trailer and see what your true weights are.
You could also do what the other millions of people do and just load up with what you want to take and if it moves when you step on the accelerator you are good to go.