The chief difference between rules and laws are the consequences associated with breaking them. Laws are the legal version of rules and are imposed by a higher governmental office, usually the police and prosecutor's office.
Laws are written in an individual code so they can be clarified as needed. When someone is caught breaking the law, there are legal actions that the person must face. Rules are more flexible and carry low-end consequences.
You set up rules for games, rules for the home, and even rules for fighting with your spouse or partner. Rules are personal and are often adjusted as the conditions and the circumstances of the home change.
Laws have to be passed through due process to take effect. It begins as a bill, and then it goes through a series of checks and balances. Rules are less complicated.