Great advice on breaking down the RPO codes, look up your codes, and find out exactly what you have.
Of course, there are lots of details, and some of your experience will depend on your usage and expectations, but your truck should do it (assuming that since you have 3:42 rear end, you have the HD towing package with the extra transmission cooler?). Your truck won't sling that trailer like a boss, but it should be adequate IMHO if you watch your weights and set it up properly. Depends on your intended usage; you live near the mountains? And will tow a lot in those mountains? Could be tedious with that combo, that's a lot of trailer for that truck to be dragging up and down all day long.
Watch out for payload, that's where you'll run out first. If you have a big family, or you like to haul lots of gear in the bed, it goes even quicker. Take your truck loaded for a trip with full fuel and the whole family to a CAT scale and see where you stand on payload according to the placard on your door pillar. I installed Roadmaster Active Suspension on my '12 Sierra, and it really helps control the rear end. That coupled with LT tires and you've got a pretty good setup if you watch your weights.
Make sure you get a really good WDH (I would choose the Equal-i-zer brand with 4-point sway, but that's just my opinion).
Again, just scratching the surface, lots of additional details about your situation, experience and expectations needed...
2014 Jay Flight 28 BHBE
2015 RAM 2500 6.4L HEMI, Tradesman 4x4, 3.73
Blue Ox SwayPro (BXW 1503)
Upgraded from an REI internal frame backpack and a Eureka 1/2 dome tent!