He is 13, he is gonna be difficult for the next couple of years. Most are, whether they end up being subs/dom(me)s/or vanilla.
My dad never played a huge part in my upbringing, my mom was usually the force to be reckoned with, and if I ever said anything rude, or simply a come back that was unwarranted, I'd hear hell. So if your son is rude next time, throw back all the stuff about rules, saying that in your house, treating someone with respect is not simply a rule, but the law.
I remember being 13, you think you are ready for the world, but in all honesty, 13 year olds are simply children, going through a confusing time and unfortunately bring out their anger it out on parents.
Anyhow, good luck.
And wtf, someone use the paddle on their own mother and boast about it???