Too heavy for that truck.
Yes - the truck will move the trailer - your problem is the classic payload issue that plagues every 1/2 ton truck.
Your tongue weight should be between 10-15% of trailer weight, which will end up around 880 - 1320 lbs.
Depending on your truck's configuration, that gives you roughly between -100 and 600 lbs of payload in the truck for people and stuff. Yes, -100 because I have seen 1/2 ton trucks with a payload rating of 1200 lbs.
Toy haulers have a lot of weight behind the axles - this makes them more prone to sway and more sensitive to weight distribution (not just the bars - but placement and quantity of cargo including water and toys).