Welcome to the Forum...You are doing the right thing by researching BEFORE you buy.
The trailer you are considering is a bunk house model. That probably means kids and that means even more weight with them and their gear (and the family dog).
Quick assessment: Once loaded trip ready I think that you are asking an awful lot from your tow vehicle...Not enough payload, wrong gearing for towing, probably P rated tires...to name a few.
Hopefully others will give you a more positive response...Don't necessarily trust the dealer telling you, "Sure, no problem."
Good luck with it.