The correct answer is A.
Subjects and verbs must agree with one another in number ( singular and plural ). If a subject is singular, the verb must also be singular, if the subject is plural, the verb must be plural too.
With compound subjects joined by <em>or/nor</em>, the verb agrees with the subject nearer to it.
<em>Neither the father nor the children go to the park today. </em>
children ( plural ) = verb go ( plural )
<em>Neither the children nor the father goes to the park today.</em>
father ( singular ) = verb goes ( singular )