Last time I checked, a Honda Accord was only good for 1000 pounds. What does the towing section of your owner's manual say?
The smallest 13' molded fiberglass trailers start at around 1300 pounds loaded and go up from there. The oft-repeated claim of "under 1000 pounds" is based on the listed dry weights of older models (without options, fluids, or any gear, basically an empty shell). Scamp
currently lists the dry weight
of its 13'er starting at 1250 pounds, and that's still before options, fluids, and gear.
The sticky thread Trailer Weights in the Real World
in the General Chat section is a data base of actual, loaded-for-camping weights of various makes and models. That, combined with the information in your owner's manual, is a good place to get started. Post #297 links to a spreadsheet that allows you to sort, filter, and calculate stats.
As you plan, don't forget to budget for towing set-up expenses: tires
and bearings on the trailer, hitch and wiring on the vehicle. With a smaller vehicle, you'll probably need brakes
on the trailer and a brake controller in the vehicle as well.
Best wishes getting this all sorted out!