Question

which component of personality represents morality and parental authority

Answer 1

That question is probably quite specific to your current area of study. It's hard to name something without knowing its context (psychology, sociology, etc.).

Answer 2

This question's about Sigmund Freud.

Do you know about how he divided personality into three elements?

The Id, the Ego, and the Superego.

He said that the Superego is the part of our personality that holds all moral beliefs and standards.
It's the part of us that tells the difference between right, and wrong.
And he said that our Superego is built, based on how we were raised by our parents, and how we interacted with the rest of society.