Kwan: first or striking
Mu/Moo: martial
Mu Sul/Moo Sul: martial skill or martial technique
Nim: honored in regards to a title. So for example, Sabum is instructor. Sabum Nim is honord Instructor
Kuk: usually short hand for National, which I think is Han Kuk.
Ho Kuk Mu Sul is agency martial techniques
Wong Moo Kwan is Wong Martial School
Chong Sa Nim is nothing, I would need to see the hangul or know the context. Probably an honorific title for a leader of a school or club.