RobJ, what tire size and brand are you using under your trailer ? You say they are rated for 1150 pounds each, wich is 520 kg each or 1040 kg per axle. We used to sell a 20.5x10.0-10 or a 195/50R10C tire which could both carry 750 kg per wheel, 1500 per axle, closely rated to the carrying capacity of your axles..
My brother has a car hauler with tires of similar size, only a lot more narrow, those are 12 ply tires, look like forklift truck tires. When empty, the trailer bounces all over the place.
From the pics it looks like you use the same C-channel for crossbars and main frame runners ? If so, you could easily do with half the size of the crossbars and still have high technical reserve. We used to use 60x40x3mm tubing as crossbars for trailers up to 8 ton

The structural integrity of a trailer frame depends more on the side rail (to distribute pointloads over several crossbeams) than on the actual size of the crossbars themself.