To whom does child custody belong and in which country, and can the father prevent the mother from traveling with them after divorce, and is she entitled to alimony and housing in Jordan?

The attempt to obtain citizenship of a non-Muslim country is fraught with risks for a Muslim. What you mentioned about your husband indicates poor marital conduct. It is advisable to be patient, offer counsel, and seek help from those who hold a respected position with him. If cohabitation becomes impossible, divorce is permissible. Custody of the children belongs to the mother as long as she does not remarry, but if the countries are distant, the father has priority for custody according to the majority of scholars, unless the court decides otherwise for the welfare of the children. The welfare of the child in custody must be the primary consideration.