Brake control for sure. Don't tow without it.
I don't know the tongue weight of your trailer but going by the description it's probably not that much. That in itself could induce some sway. If you can properly load the trailer with the right amount of tongue weight then sway control won't be necessary. It's basically a bandaid for a truck and trailer combination that isn't well set up or an oversized trailer with an undersized tow vehicle. Same goes for a weight distributing hitch.
I would think that a 2500 truck with that small of a trailer wouldn't have need of a WDH (not that you asked but other posters keep bringing it up.)
You need to get the ratings of your hitch and compare them to the weights of your trailer.
By the way, the factory hitch on that truck is known to be a weak design. It's a round tube so the only thing keeping it from rotating down is the welds. The welds seem to have a tendency to break. I would replace the hitch with one rated to carry your tongue weight without a WDH. This would keep you from having to purchase, carry, store, and trip over a WDH.