If it has brakes, they would be surge brakes. Surge brakes require a master cylinder on the tongue to operate, so if there isn't one, it may not have any brakes at all. It sounds pretty small so may not require brakes. Relatedly, it sounds like your tow vehicle can handle towing it with plenty of margin. I'm much closer to the edge with my 4Runner tow capacity being around 3500 pounds and the trailer GVWR 3500ish. Gross Vehicle Weight Rating is, IIRC, the maximum load of the trailer with gear and water, etc. The best way to know for sure, although it's a bit of a hassle, is to weigh your tow vehicle and then the tow vehicle + trailer at a weigh station. They can be found at some truck stops, among other places. I haven't done this yet but I'm extremely curious to see what I find. Sway bars in this case are probably an added safety measure. I would say it depends on how the trailer tows behind your vehilce. If it feels smooth and safe, they're probably not necessary.
1995 Toyota 4Runner SR5 4WD 5 spd
2002 Eagle Summit 12