Are these family difficulties and problems a trial from Allah or an expiation for sins, and what is the best way to deal with them, including the option of leaving home or traveling with the father?

The father made a mistake by leaving the home and returning to his country. Therefore, he should be persuaded to return, or the family should be brought back with him to Pakistan, because the sisters' continued stay in this country has affected their morals. The mother must bear her responsibility towards her daughters by stopping their abusive behavior. As for the questioner, he must be patient and consider the effect of his remaining in or leaving the home on his faith and the situation of his sisters. He should know that this is a trial to expiate his sins and raise his status. Therefore, he must supplicate for them and try to guide them, just as happened with Abu Hurairah's mother, whom Allah guided after the Prophet's (peace and blessings be upon him) supplication.