Sue, you need to look carefully at more than just the tow rating. You needed to look at payload capacity, gcwr, and GAWR too, in order to get a complete picture. Pin weight will be part of payload, as well as everything in the truck including passengers, 5th wheel hitch set up, etc. Realize that many trailer manufacturers are "optimistic"about the weight of their trailers, so plan on some extra weight there.
Is the trailer GVWR 15k? Or is that unloaded? My understanding is 5th wheel pin weight is generally 20% of trailer weight, could be more/less of course. If it was 20% you need a payload of 3k lbs for the trailer alone, not counting passengers, hitch system and other cargo in the truck. A 2500 may or may not be rated to carry that much weight, you have to look at the specs and preferably the door sticker before you purchase.