How much weight will be in the truch while towing? That will probably decide if the truck will be overloaded by the trailer.
The engine should have plenty of power. Yet if the curb weight is say 6,000 and the GVWR is only 1,500 pounds more, and you put 450 pounds of passengers and a dog in the cab, then you might be overloaded when you add the hitch weight, some camping gear to the truck, and are ready to go.
So check at your local scale. Most moving companies have one for a nominal fee of $10 or so. Also recycling centers sometimes have truck scales.
Fred.