Everything you described, in it’s totality, describes a common law system.
btw - here is some interesting trivia I found. Has nothing to do with our conversation but you might find it interesting:
“Louisiana private law is primarily based on civil law. Louisiana is the only U.S. state partially based on French and Spanish codes and ultimately Roman law, as opposed to English common law.[15] In Louisiana, private law was codified into the Louisiana Civil Code. Current Louisiana law has converged considerably with American law, especially in its public law, its judicial system, and adoption of the Uniform Commercial Code and certain legal devices of American common law.”