Brakes and transmission are going to be your top priorities.
I would recommend upgrading the rotors and considering ceramic pads. SS brake lines would be a good consideration. R&R the brake fluid with a quality DOT4 fluid and keep it flushed with regular intervals.
A transmission cooler is a must when towing. I hate to say it, but if you're already having slipping issues, you are only accelerating the demise of the transmission by towing.
I would do a complete coolant flush and check the entire cooling system for preventative maintenance, including replacing any old original hoses.
A temperature gauge for the transmission is a necessity. Good news is there are several OBD2 monitors available which you can use to monitor important parameters when towing such as engine and transmission temperatures. Waiting for the OEM gauges to tell you anything will be too late. If you see the temperatures start to climb above normal, ease up on the throttle and/or downshift to stabilize and lower the temperatures.
Maximize your rear tire pressures but check the pressures when cold.
Watch the tongue weight of the trailer. Make sure the trailer weight is properly distributed so you have about 10%-15% of the gross trailer weight on the tongue. Make sure you stay within the weight limitations of the hitch. Improper weight distribution is dangerous. Trailer sway at highway speeds is a nightmare waiting to happen especially with single axle trailers.
Safety is paramount when towing. When starting the trip, do a pre-check of everything; tire pressures, lights, hitch connection, etc...
Make sure you have a safety pin or a lock on the hitch latch. Use safety chains and adjust them so they are not dragging but allow full pivot of the trailer.
Stop within the first hour to do a safety check. Stop every two hours for safety checks when traveling long distances.