Bismihi ta'ala
No, it is not mandatory, and she does not need to do any household responsibilities for them, unless it is out of her own good-will and her kindness.
Her focus should be on her new life with herself and her husband, and her only duty to her in-laws is respect them like her own parents, honour them, treat them well, but does not need to do anything she does not want to.
Her husband and her in-laws should of course know what Islam says, and should accommodate to this as well.
And Allah knows best