Some sort of sway control is ALWAYS a good idea even if you don't think you need it.
To determine if you need weight distribution, first find the ratings for your F-150's receiver. These will be on a sticker on the receiver itself, or in the owner's manual or some supplemental towing guide. If you cannot find the ratings anywhere, return the truck to the dealer and demand a full refund of your purchase price.
Now look at the literature for the trailer and find the GVWR and dry tongue weight values. Dry tongue weight is the LEAST your trailer's tongue will weigh. Hardly ever does the tongue get lighter as you load up to go camping.
Right off the bat, if:
Dry tongue weight of trailer > Receiver tongue weight rating without WD
You need a WD hitch.
That F-150 probably has a no-WD tongue weight rating of 500lbs. That trailer has a dry tongue weight of at least 600lbs...
600lbs > 500lbs
Yes, you need a WD hitch. Even better, pick one of the many out there that integrates sway control.
