99.9% you’re fine. I haven’t towed mine with brakes and it’s a 6x12 with a larger machine and I carry a full chem tank and 75 gallons which is where I like to buffer from. There’s probably 1000 lbs on the trailer at any given time and it weighs 750.
No real problems.
I do know that when I was a contractor my 7 x 14 trailer had brakes, often hauled less weight, and it was just a lot nicer to tow down hills and last minute stop lights.