Thanks for the chance to help. I am an attorney with over 12 years experience. Hopefully I can help you with your legal question.
I am very sorry to bear bad news.
What you describe would make a very difficult lawsuit to win.
If the rules of the complex allow them to tow the car, they can tow the car.
To sue and win, you would have to prove that they violated the rules they established. For example, if the rules required that they notified the car owner in person prior to towing...or if the rules required that they make all efforts to notify the driver of the car after the tow? Then you would have a great case.
Now...there is one thing you mention that may assist you...you mention a "kickback".
If that is the case...if there is evidence that the towing by the complex is done "for profit"? That would be grounds to sue. Specifically, if you can show that rules in place are being enforced arbitrarily by the management in order to make money (by getting money back from the towing company)? That would be grounds to sue and recover.
Now...you would need some evidence to support this. You can can file the suit in small claims
court yourself. And if you do, the complex would need to send someone to represent (perhaps the manager)...so if they admitted this was the case...if they admitted they received a kickback, or of you could find some evidence of a kickback? Then you would have a great case.
But short of that? Unless there is evidence of the complex profiting from this, the law allows them to make and enforce rules for parking.
Again, sorry to have to bear bad news