Question

1. What is the name for the head of an orphanage?

2. What is the name for the head of an nursery school?

3. What is the name for the head of a day-care center?

4. What is the name for the head of a senior center?

5. What is the name for the head of a nursing home?

(Which one is a suitable title for each head? a manager, a director...)
All your sentences are fine, but I'd use the word "director" instead of "head."
number 5 is matron

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