Young children with a strong sense of will become more autonomous and exhibit greater initiative.
a. identity
c. self
b. status
d. trust

Young children with a strong sense of (A) IDENTITY will become more autonomous and exhibit greater initiative.

It is important for children to establish their identity and thereby recognize their roots. This will help them a great deal later in their lives.

the answer is:

when will (v) the books (n) be (v) due?

nouns refer to people (other than pronouns), places and things, whereas verbs describe actions and are usually part of the predicate of a sentence. finally, pronouns can work as nouns and identify the participants in speech.

in the example sentence, "will" is a verb part or auxiliary verb, "be" is an infinitive verb and "books" is a plural noun.