No, they don't have a backdoor, like the pirated versions. Nor do they have a red button to press to remote close a site - it doesn't exist.
Yes, they have the law on their site and a law firm potentially to help them fight pirated instances.
Depending on laws of the country / hosting situation , etc .. they can take very successful action against idiots that don't respect software authors (but yet decide it's worth to use it).