Your towing with a small car, brakes on that car are minimal and designed for that car, not that car plus a trailer, better to wait a month then be tangled up in a wreck. And even if no wreck, the accelerated wear on the cars brakes is a sure thing, a brake job these days costs far more then the upgrade to an axel with brakes.
On my cross country loaded to the hilt, got into a panic braking stop on a cold rainy night due to a mOOSE THAT WANTED A CLOSER LOOK AT OUR HEADLIGHTS.
Was traveling a little too fast and locked up the brakes. With trailer brakes, I stopped, stayed straight and under controll, I know due to the distance to the moose that without trailer brakes....
Moose burgers anyone?