Wake up, dude. We don’t “establish our rights” by signing treaties. We LIMIT them.
Treaties do both.
If we never signed treaties, we would still be fighting a lot of battles that should have concluded a long time ago. If we don't have a treaty that defines our 200 mile exclusive economic zone, then we would have to send a gunboat out whenever another country wanted to challenge it. With a treaty this should hopefully be less frequent. Without a treaty other countries could claim arbitrarily large areas of the sea and the sea floor around their borders and we would have to fight over this too.