What are adminisrative offices of law?

Answer 1

The phrase could mean several different things.

Administrative offices are where the administration (the office work and bureaucracy) operate. So, for example, each court house or police station had administrators who handle the bills, logistics, supplies, personnel, etc.

The term can also refer to the practice of administrative law -- which deals with regulatory agencies at the state or federal level. For example, social security claims would have handled before an administrative judge at an administrative hearing -- and would only escalate to being heard in the courts once all administrative appeals are exhausted.