After a child is accidentally injured from a gun, the city council proclaims that guns are dangerous and will not be allowed in peoples' homes. (Is the Bill of
Rights being violated?)

Yes

Explanation:

The Second Amendment, one of the ten amendments to the Constitution comprising the Bill of Rights, states: “A well regulated Militia, being necessary to the security of a free State, the right of the people to keep and bear Arms, shall not be infringed.” This is the right to bear arms.

monarchy doesn’t have to have the hereditary element. there have been elective monarchies in the past where you choose your king-for-life and when he dies elect someone else for the job.