I don’t know the difference between 法規 and 法律 very well. My attempt is the following.
I think you can’t drive too fast even if there was no road signs. It is implicitly regulated by the law, which is 法規.
法律 is more of an explicit law. You probably get refund when you buy a PC and it has a defect. The company must agree with a refund policy within 14 days or some intervals. It has to be explicitly written in a receipt.
規律 is close to 規則. It is more of a discipline. Wearing suit for a company or you might be taught “an early bird gets the worm” takes you an ordered life.
法則 is, as you know, used in scientific law. Since we have not seen a time traveler, probably any entity cannot travel faster than light.
規則 is a rule. An institution(ex. school or baseball league) can make a guidelines. Students or baseball players should follow the rule(規則)