I tend not to give opinions. I tend to provide factual information to users that ask weight questions. You will need to read the following PDF to find all of the information that you are looking for.
The towing capacity will be different if you have a 4X4 or 2RWD truck also what model of trim level you have.
I guess at the model based on the max trailer weight of 13,300 LBS that you quoted.
The truck weights are Base 7,571, Gross Vehicle 10,100, Payload 2,530, Base front 4,614, Base rear 2,957, Gross Axle Front 5,500, Gross Axle Rear 9,350, Gross Combined 21,000 and Max Trailer 13,300, these are all in LBS. You must read the foot notes at the bottom of the page also.
So here is the PDF booklet from Ram that will provide you a lot of information.
http://www.rambodybuilder.com/yearold.pdf This is from page 10 in the 2011 section.
Now with the trailer the dry weight that you quoted was 14,500 LBS this means nothing. You need to work with the Gross weight of the trailer that is listed for that model. This is the max weight of the trailer with all toys, fluids, food and clothing, with 20 percent of this load will be on the rear axle of the truck.
With this information I think you will be over loaded without any passengers in the truck and items in the camper, if you just add up the base weight of the truck and the base weight of the camper. These weights add up to 22.071 LBS, the truck is rated to tow a GCVWR of 21,000 LBS.
I would look for a different truck such as a C&C model or smaller toy hauler.
Jim W.