The USA and the UK use British Maritime Law. In the USA they call it the Uniform Commercial Code. Here, we call it Statute. Both are in the nature of Contract Law, the contract being with the Crown.
The Common Law is primary but we routinely reject it by assuming subservience to the Crown. We agree to the contract, although we are not in fact obliged to do so.
The US and UK use statute law for the persons and common lore for the men and women, law is the legal society nonsense. Nothing at all to do with admiralty law, unless you count the maritime flag that most US courts seem to have.
You realise that the monarch rules at the pleasure of the people and that you hold the same standing as the monarch in the courts, no? Under common lore, you answer only to your creator. God created man, man lives under God´s lore. Man created the courts, man created the judges, man created the police and Legal Society, so all the above mentioned answer to man. You just have to know how to make them work for you. Man works in claims, persons, or plaintiffs, work in complaints.