What Hitch, as in, Equali-z-er, Blue Ox, Curt, etc. and the exact model. The correct spring bars are very important and it may have the wrong ones.
You would do well to have a 3 inch shank and no adapter. They are made, you just gotta look for them.
Here is one by Bulletproof. It fits a 3 in receiver, and has a standard 2 inch vertical bar with 3/4 holes on 1-1/4 spacing for attaching the hitch head. This is an industry standard, and you can mount a hitch head from a bunch of different manufacturers on it. There are others. Depends on how much drop you need or can accommodate. This will eliminate much play in the hitch system.
It sounds like your spring bars are not tensioned correctly, that is why I am asking exactly which hitch brand and model and "weight" of spring bars you have.
Your trailer appears to be a 7985 GVWR and when loaded will have a tongue weight of 800 to 1200 lbs depending on how you load it. Expect about 1000 lbs (hey, for once the brochure is pretty much accurate!).
This means you need 1000 lb bars for the hitch. If the hitch is set up with 1500 lb bars and your tongue weight isn't that much, the bars are too stiff and won't absorb the porpoising of the trailer, which may be some of the push you are feeling.
Posting pics of the hitch may help
Charles