Who has a primary right to the father's care, what are the rights of the sister and mother to the retirement pension, and is it considered an act of disobedience for the sister to refuse the father's move with the mother to another place?

It is advisable to strive for reconciliation between the mother and the sister, and to clarify that there is a kinship between them that must be maintained, and that the maternal aunt is like a mother. The stepmother has the right to refuse your sister living with her, and she (the sister) is entitled to her maintenance if she lives independently. The care of the father is an obligation upon the children, male and female, each according to their ability. The father's money is his right to dispose of as long as he is sane and رشيد (of sound judgment), and his wife is entitled to her maintenance according to what is customary. As for the maintenance of a divorced daughter, it is determined according to her situation. If the father's mental state changes and he is no longer able to manage his money properly, his case should be brought before the Sharia court or specialized Islamic centers to review his eligibility.