1.Anyone who needs help may consult (his or her, their) script.

2.A few of the dancers brought (her, their) shoes.
3.Most oh the costumes are missing (its, their) buttons.
4.More of the material needs to have (its, their) edges trimmed.
5.All of the furniture was put in (its, their) place.

1.his or her
2.their
3.their
4.its
5.its

Correct.