Question 1: Absolutely not! In most states that I know of, it is illegal to tow a trailer that is equipped with brakes and not have it hooked up to the tow vehicle braking system via a brake controller. Also, the brakes on the RX330 (or most other vehicles) are engineered for stopping that vehicle, not the extra 3000+ weight of the trailer. Check the law in Texas - if it's like Washington, and I'll wager it is, there are specific laws regarding towing trailers that have brakes. Not only is it probably against the law, but it's downright dangerous! I can't stress that enough, it would be an accident looking for a place to happen!
Question 2: I have no doubt that there is some way to hook up a brake controller to your vehicle. You may need an additional switch on the brake pedal, but I'm sure you can hook it up.
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