“If you have a fever, cough and difficulty breathing, seek medical attention and call in advance”. In this sentence, which is the determiner?

He became rich overnight. What part of speech is 'overnight'?

The nightingale is a singing bird. In this singing is a/an --

I Came home after the rain -----.

The Doctor took the round in the hospital. Here 'round' is a/an ---

Alumni is the plural from of