Is it a condition that a woman should untie her locks while making Ghusl (ritual bath)?
Ghusl from Janabah (ritual impurity), or menstruation obligates that water reaches the roots of the hair in order for the Ghusl to be valid, but if it doesn`t, then hair locks must be untied for water to reach them, and for Ghusl to become valid.
Is it incumbent on a family to provide for its old handicapped son and take care of him?
The family and relatives - e.g. brothers - of such a person are obliged to spend on him and take care of him if he didn`t have money of his own.
I`m married to an American citizen who used to be married to a man in Mexico and filed for divorce there. It is worth pointing that in America she isn`t registered as married. When she arrived in Jordan, her lawyer called and told her that she got the divorce, and based on this we got married in Jordan. What is the ruling of Sharia on this?
All perfect praise be to Allah the Lord of The Worlds. May His blessings and peace be upon our Prophet Mohammad and upon all his family and companions.
You haven`t mentioned whether this woman has converted to Islam or not. If she had embraced Islam and three menstrual cycles passed, but her first husband hasn`t converted to Islam, then her relationship with him is over. If you married her after this (Passing of three menstrual cycles and first husband not having embraced Islam) then your marriage is valid. However, if she didn`t convert to Islam then your marriage contract with her is invalid and you have to wait until she gets divorced by her first husband and observes Iddah, which is three menstrual cycles. Afterwards, you can conclude the marriage contract. We pray that Allah doesn`t hold you to account for what you have done because you thought she was divorced. We recommend that you seek Allah`s forgiveness as much as you can and do righteous deeds. We also advise you to marry a Muslim woman to preserve your and your children`s religion since Almighty Allah Says (What means): "Wed not idolatresses till they believe…" [Al-Baqarah/ 221]. It is true that marrying a Kitabi (One who believes in a book of sacred scriptures and with whom a Muslim may marry in what is deemed a lawful marriage) is permissible, it involves great risks, as stated in the aforementioned verse. And Allah The Almighty Knows Best.
Is it permissible for us to sever ties of kinship if our blood-relatives` gatherings/meetings involve acts of sin?
Observing kinship ties is obligatory, and paying your blood-relatives a visit causing their sinful acts to be hindered , then you should do so. However, if their sinful acts continue while you are at their gathering and they didn't respond positively, then observing kinship ties via telephone and the like will suffice in this case. And Allah Knows
