All perfect praise be to Allah, The Lord of the worlds. I testify that there is none worthy of worship except Allah and that Muhammad, sallallahu ‘alayhi wa sallam, is His slave and Messenger.
We ask Allah, The Exalted, to grant your mother a complete recovery that leaves behind no disease. We also ask Him to guide your father to the truth, cause him to come to his senses, and rectify his affairs. We advise you to frequently supplicate Allah in their favor. Indeed, Allah is Near and He answers the supplications of those who invoke Him. He commands us to supplicate Him and promises to answer our supplications; He says (what means): {And when My servants ask you [O Muhammad] concerning Me - indeed I am near. I respond to the invocation of the supplicant when he calls upon Me. So let them respond to Me [by obedience] and believe in Me that they may be [rightly] guided.} [Quran 2:186]
It is an obligation on your father to provide for your mother, and for your sisters if they have no wealth of their own until they get married and the marriage is consummated. If he falls short in this obligation, then he is sinful for it. ‘Abdullaah ibn ‘Umar, may Allah be pleased with him, reported that the Prophet, sallallahu ‘alayhi wa sallam, said, "It is enough sin for a person to neglect providing for his dependents." [Abu Daawood]
If you have access to his wealth, then you may take from it what he is obliged to provide, even if it is done without his knowledge. Hind bint ‘Utbah, may Allah be pleased with her, said, "O Messenger of Allah! Abu Sufyaan is a miser and he does not give me what is sufficient for me and my children. Can I take from his wealth without his knowledge?" The Prophet, sallallahu ‘alayhi wa sallam, said, "Take what is sufficient for you and your children, a reasonable amount." [Al-Bukhari]
There is no doubt that it is unbecoming of the father to cause such pain to his own children and abuse them as such. The father is often loving and compassionate towards his children, keen to serve their best interests and ward off any harm befalling them rather than incurring harm on them, especially his daughters. Hence, it is advisable that you should investigate the matter and try to find out the reason for such actions on his part. You should try to solve the problem by means of an apology if you have fallen short in fulfilling his due rights over you or by removing any possible misunderstanding between you and him on any given issue.
You should bear in mind that you are enjoined to show dutifulness and kindness towards your father regardless of his abuse. You should keenly beware of committing undutifulness, even by the least offense. You should know that forsaking your father and refraining from talking to him are considered aspects of the prohibited undutifulness to parents. Please, refer to fatwas 87856 and 87019. If he does not want you to visit him and visiting him would cause any harm, then you should seek other means to the uphold ties of kinship with him, such as calling him or the like.
Allah knows best.