That's really bad.
The only thing being super strict on your kids is going to do is make them learn how to be sneaky and hide everything from you.
Sometimes I do need to lay low. In August 2012, I was moonlighting at my grandparent's house and started a Facebook account. My parents had told me several times that they "didn't think Facebook was a good idea", but I didn't think I was doing anything horribly wrong. A couple months later, they found out and I was put under surveillance for a while and I was not allowed to use my account. In February 2013, they changed their minds about Facebook and let me have it back.
I was kidding lol.
I'm pleased lol