I'm seeing over 300 lbs removed from the front axle when the trailer is connected. That tells me you're not transferring any of the tongue weight back to the front axle. I'm also seeing around 1300lbs added to the rear axle. So if you are 1000lbs of tongue weight add in the 300 removed from the front axle then there is your 1300lbs.
Your going to want a good WD hitch with sway control. I wou go with a Reese Dual Cam. But you'll have to step up to the 1200 lb version as the don't make a 1000lb unless you go with the round bar system but that hangs low and can create clearance issues.
I ran the D.C. System on our old trailer and it handled very good.