Is the refusal of children to move and live in a remote area at the father's request—due to the insecurity of the area and the unavailability of suitable living conditions for sole daughters—considered disobedience that warrants God's punishment, especially since the father himself does not wish to live with them in that place, and complains about them to people, calling them disobedient, despite the mother's sacrifices for their sake?

As long as you are an adult and of sound mind, there is no harm in you residing with your mother and refusing to move with your father, especially if he intends to move you to an unsafe dwelling. Custody ends when the child reaches maturity and is of sound mind, and they have the choice to reside wherever they wish, as long as no corruption is feared for them. You must honor your father and treat him kindly, no matter his condition. This does not contradict honoring your mother; rather, it is obligatory to combine honoring both of them and treating them kindly. If obedience to the father conflicts with obedience to the mother such that it is impossible to obey them both simultaneously, then honoring the mother takes precedence.