With a 2700 lb payload capacity, you're good to go.
In answer to your question, yes, the tongue weight will be reduced by loading stuff in the back of the trailer. That is why toy haulers have such high dry tongue weights compared to other floor plans--the manufacturer knows people are going to put dirt bikes, quads, and other heavy vehicles back there, and design the trailer so it won't be fishtailing all over the road due to having too little loaded tongue weight.
The only way to truly know is of course to head for the scales fully loaded and ready to camp, but it sounds like you're OK, especially with a heavier receiver. The tips about penetrating oil and air tools are spot-on too. Those bolts almost certainly won't want to cooperate.
