establish its own constitution
Whatever state you're in. Each US State has its own capitol building, located in that same state.
Each state has their own hunting laws. You will have to purchase a license separately for each state.
Each state in the US has it's own constitution, and it's own supreme court.
Each state has it's own capital, so there are 50 of them. The federal capital is in Washington DC.
The US Supreme Court is the highest court in the US. Each state has its own Supreme Court, but the US Supreme Court is the end of the line.
Yes, each state has its own flag.
Each state is under the national government, but they also have individual governments,
Each state has its own laws. Read your tenth amendment.
We would all disagree on stuff and next thing you now, the whole us starts a war into a state. So basicly the us would be a battleground everywhere
Yes and Yes. The US Constitution applies to all the states. Each state has its own constitution that applies to that state. The state cannot contradict anything in the US Constitution, but they can add things that they feel are missing, or have more stringent requirements for certain things. And the state's constitution sets up and defines the government that will rule the state.
The US Supreme Court is the highest court in the US. Each state has its own Supreme Court, but the US Supreme Court is the end of the line.