I agree with the advice of fixing the sway issue first, then add weight distribution and sway control.
First step is to get accurate weights at the scale. Weight of the truck by itself, then another weight pass over the scale with the trailer hooked up with the weight bars disengaged. Correct the loading to achieve approx 12% to 14% tongue weight.
You'll most likely find it tows correctly then.
Then proceed to WD setup, with the end result goal being a level trailer, and steer axle loads restored to somewhere between 50% and 100%.