Read the sentence carefully.

Neither the coat nor the hat are in the theater’s coatroom, and neither are in the lost and found.

Which sentence corrects the error in subject-verb agreement?

Neither the coat nor the hat are in the theater’s coatroom, and neither is in the lost and found.
Neither the coat nor the hat are in the theater’s coatroom, and neither are in the lost and found.
Neither the coat nor the hat is in the theater’s coatroom, and neither is in the lost and found.
Neither the coat nor the hat is in the theater’s coatroom, and neither are in the lost and found.