It wasn't clear if you were asking if you need a WDH at all or just a WDH with or without sway control. As for whether or not you need a WDH, take a look at the truck manual or the sticker near the receiver. It will list the weight allowed for "Weight Carrying" and "Weight Distributing". Your trailer has a GVWR of 4,700lbs so, depending on how much you load, your tongue weight may be close to 550-650lbs. Some receivers only go up to 500 or 600 lbs for weight carrying. Meaning, you would need a WDH.
I also recommend an integrated system like the Equal-i-zer. You can get away with a WDH with a sway bar but its kind of a hassle.
DW, 3 Kids and our Goldens
2012 Shamrock 233S
2008 Toyota Sequoia 5.7L 4WD