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Pictured is a 14' Alum. boat. This has been the 2nd funnest and 2nd best handling rig yet. Even more so than the F350 Dually I have used.
You will have NO problem.
Go to 6 min. 56 seconds:
https://www.youtube.com/watch?v=4jzoxKU8FI8 I refused to drive over 55mph. Not my favorite for towing, but it worked. I tried every trick in the book. Once steel gets over a certain length, it feels more like a wet noodle. Your short trailer will make it stiff and more stable.
I used to tow my Motor-Cross bikes with a Datson SRL311/Roadster. 1990lbs and she did pretty good. Sports cars actually make GREAT tow vehicles as long as you don't exceed the weight range they are good at.
Experience has taught me that EVERYTHING that makes sports cars handle better also make trailers and their tow vehicle more stable. A WRX is a great platform for light loads as yours. Would you take the shocks off your WRX? Then why do we not use them enough on our trailers. The leaf spring was invented around 1805. And it handles like it. When I have a trailer that handles badly, I am very quick to add a Panhard control rod. Always helps. Tread width to rim width ratios are very important. Push the rim width to the maximum width the tire manufacturer will allow. Exceed it and the flex part of the tire will move off the thin sidewalls and to the thicker part of the tire causing it to overheat. The trailer for my current 14' Alum. boat has nothing to help and yet it tracks dead on under all conditions. Sometimes even the crude 1805 design works. With no one around, I jerked the wheel some. Rock solid steady. She will not fishtail.
The most fun was using a highly modified Grand Marquis to tow a NACRA beach cat on a modified trailer. I could do 6 wheel drifting with it. Insane! You can't do that with a truck or SUV.
Be cautious with the C.G. of your boat. Most can't stay upright and keep up with what your WRX can do. I put the axle on top of the spring on all my trailers and drop the rollers as low as they go. You don't need to tow with 4-6" clearance and your boat with 2'.
Away from all other traffic and obstacles, do some braking and maneuvering test SLOWLY at first to get a feel for how YOUR car and trailer work together.
Don't worry. A WRX will be great with such a light load.