The sentence that uses the verbs correctly is: Forgive and Forget claims to be a moving story about a father and a son who resolve their conflicts. The verbs used in the sentence are "claims" and "resolve". We used the singular form of the verb "claims" because the subject that precedes it is in the singular form because it is a title of a movie. On the other hand, the verb "resolve" is in the plural form because it refers to two nouns which are father and son.
