Generally speaking your truck appears to have some pretty solid specs. Payload is typically the "gotcha". The sticker in your door jamb should tell you what yours is rated at. Your 5er is likely in the neighborhood of 2700-2800 lbs dry hitch weight. Loaded weight would be closer to 3300-3500 lbs. You might be right in there.
BTW, welcome and happy towing.
Jeff & Sandi (and Teddy - 7lb Schnorkie)
2018 Montana HC 305RL / Andersen Ultimate Hitch on B&W Ball
2012 RAM 3500 Big Horn Crew Cab 4x4 SRW / AMP Power Running Boards / Air Bags