7000# seems better. Crawl under and look should be a sticker on the axle. Either way 3500 per tire which is what the police will look at if you get pulled over.
Some manufacturers claim different. Some include the pin weight on the gross and some dont.
235/85/16 tires run the Good Years G614's or the Michelin Ribs. They are expensive but if you are running trailer tires and have not had a bubble, separation or flat then you are of the few and should play the lottery.
With your wheels which the sticker says can go to 110 psi I would run the above.
I would run the same but I can not fit a 235/85/16 on my trailer, I had 235/80/16 originally which is a trailer only tire. I run a 245/75/16 LT now.
I was going through trailer tires before switching to LT tires about every 8months. Warranty covered some but still seeing a bubble 3 hours minimum from home and the warranty doesnt sit will with me or having the side of the trailer ripped off because of a separation.