Answer:
The answer to your question would be that the sentence that contains an error in pronoun-antecedent agreement is "Everyone should do their own work" (C).
Explanation:
The sentence above is an example of the use of singular they. Singular they is the use of of the pronoun they or any of its derivative forms (their, theirs, them, themselves) as a gender-neutral singular pronoun. This typically occurs with an unspecified antecedent, such as the one in the sentence in question (everyone).