There are hitches for your car. JC Whitney has one that is rated at 2,500 lbs, with a tongue weight of 200 lbs. Remember, your owners manual says to not tow with the car, ever! Assuming your warranty is off, it is really up to you. There are quite a few others on the forum that tow with their protgs without problems.
If you do tow with it, remember that you are towing something that is almost the same weight as your car. Your car is 2,500 lbs, and the trailer is 2,300 lbs. You have almost half the braking ability because of twice the weight, and half the acceleration.
The only weight that is static on the car is the tongue weight (the weight at the ball join of the trailer). I'm sure you could probably pick up the tongue of the trailer with your hands, so you should be fine. Most trailers don't have that high of a tongue weight.
The dynamic forces come from the weight of the trailer. So when you accelerate, brake, turn, go over bumps, go up a hill, go down a hill, whatever... those forces are transferred to your car. These put forces on your frame, transmission, and engine. The main concern would be the transmission, as these added forces will create more heat. If you drive aggressively, you could have issues with your transmission later on due to heat. This is why some people add transmission coolers to their vehicles when towing.
Now, my opinion... Use common sense, brake early (double the weight), and if you are in stop and go traffic or going up a hill, be gentle. If you are flooring it up a hill, you are having the car work too hard, especially with a turbo.
I have a hitch on my Protege5. I plan to tow a small trailer and a small boat with it. I plan to use common sense, and have fun. I hope that you do to
Going to a high quality transmission fluid wouldn't hurt. There are some good synthetics our there, like Redline MT-90 or Pennzoil Synchromesh. Redline also has a ShockProof product that people seem to love, but its meant for racing. If you choose to use it, only use the Heavy version, as the rest are too light for normal, long-term use. Some people mix the ShockProof products with other products, but thats probably getting into too much work for what you want to do

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My 3 cents