Its been my experience when I had several trailers on the road that one axle with a different pressures (65-80) or tread pattern or tire diameters than the other axle(s) can have different braking characteristics especially on wet roads. The trailer will be fine but Just be aware.
Balance between the axles ?? Different tire pressures will have little to do with how the equalizer bar does its job of equalizing the load unless there is a large difference in tire diameters.
Also due to braking rotational forces the rear axle brakes tend to lift the front axle a bit through the equalizer bar on hard braking events. If I had tires different in diameter I ran the larger diameter tires on the front axle. Doing so helps eliminate flat spotting.