Maybe, the pin weight listed is to light. It needs to be closer to 20% of trailer weight. Don't know what that Dodge is rated for, GVWR or axle weight, I bet it is close to or over the limit? Also, combined weight limit may also be a problem if truck weight plus pin weight is say 9,750 lbs and the 5er 13,750 lbs you will be over the combined weight limit. I don't push limits, I leave a margin for safety.
I drive a 2011, F250, CC, longbed, diesel, with a truck limit of 10,000 lbs and a 5er with a 9,850 limit and a combined limit of 23,500 lbs and I wouldn't tow an almost 14,000 trailer with what I have, many would and some will also call me weight police or other bad names. Ford states that I could tow a 16,300 lbs 5er, that would be over the combined limit and I think, based on many years towing, that I would not want to tow much over 11,000 lbs.