Is it permissible for the wife to use promotional tools (pens, notebooks, watches) belonging to a company her husband works for at home, knowing that the company provides office supplies to her husband, and if it is not permissible, is it permissible to use them if the husband is owed money by the company that has not been returned to him?

If the company permits employees to take these items and use them in their homes, then it is permissible. However, if the company does not permit it, then it is not permissible to use them, and they must be returned to the company. If your husband has a firmly established right against the company that he cannot obtain through lawful means, some scholars have held that it is permissible for him to take what corresponds to his right.