Are your tires P for passenger car or LT for light truck?
A P tire may indeed hold the weight without damage but they're designed for ride comfort and thus have sidewalls with less stiffness. An LT tire, while supporting the same weight, will have a stiffer side wall for less rolling and flexing while under way.
As for knowing if you can tow that trailer, information on your vehicle is necessary, not just the tires. What vehicle are we talking about? What's it's tow rating, hitch rating, payload rating, etc?
Dry tongue weight is meaningless since no body tows a dry trailer. Your tongue weight needs to be about 13% of the loaded trailer weight so figure about 900 pounds on loaded tongue weight.