• Is it permissible for a woman to apply Kuhul(Halal eyeliner) and go out wearing it?
Kuhul is part of a woman`s adornment, and it is forbidden for her to show that to anyone other than a husband , or a Mahram(Unmarriageable kin).
• Is it permissible for a woman to inherit equal shares as men?
All perfect praise be to Allah, The Lord of The Worlds, and may His peace and blessings be upon our Prophet Muhammad and upon all if his family and companions.
Revising the cases in which woman's right to inherit according to law of distribution of estate indicates that there are more than one case by which women inherit the same as men and more, or to have the right to inherit while men who share the same family line with her don't have the right to inherit because the deceased has closer ties of kinship with her. In addition to specific cases whereas a woman inherits half share in comparison with man's share although they had the same degree of kinship with the deceased. For further details as regards these cases, kindly refer to elaborated jurisprudence books. And Allah knows best.
• Is it permissible to swear by (Allah ”The Living”)?
Yes, it is permissible because “ The Living “ is one of Allah`s Attributes.
• Is it permissible for a guardian(Big brother) to unlawfully stop his sister from getting married ?
If the guardian denies her right in getting married for an unlawful reason, she should go to court in order to settle that matter, and the guardian is considered sinful in this case.