武家: a samurai family

部門: division, group, branch

(informal) to be frank; to be honest

無頼: scoundrelly; vagrant

無頼: being scoundrelly, a scoundrel; vagrancy, a vagrant

see you later (said by a person staying, a stock phrase required by the Japanese etiquette, lit.: (after) going, come back)

行っていらっしゃい: alternative form of いってらっしゃい (itterasshai)

下学: elementary learning / 下顎: lower jaw / 化学: chemistry / 科学: science / 家学: hereditary learning / 歌学: poetry

下顎: lower jaw / 寡額: minimum amount set for a fine / 価額: value, amount

医学: medicine, medical science, the study of medicine