Yes, you absolutely should use a WD hitch with that combination. I have not scaled our trailer lately but the last time I did the GVW was around 8500lbs loaded for a winters stay in Florida which means clothes, pots and pans etc but no food. The trailer has a 10,000lb GVWR and the way it sits right now, loaded just about the same as before, the tongue weight is just short of 1400lbs. I suspect that yours will be right in that range also just for weekend camping.
Keep in mind that the weight of the tongue unloads the front axle of the truck and the WD hitch restores that lost weight. I don't think you would enjoy towing without one with that size and weight trailer.
Barney