Woman

Yes it allowed with full Hijab and adding to all Islamic rules.

Wassalam.

Muslim woman must perform full Hijab where ever she lives. If Hijab is banned in a country and she needs to go out of her house, she will be then required to move to another place where she can perform her duty in Hijab. 
'Wassalam.

1. Full Hijab is compulsory on every Muslim woman.

2. Her husband’s permission if she is married to ensure that her working out of her house does not violate or harm the rights of her husband.

3. Avoiding any unnecessary talks or chatting with men.

4. Performing obligatory Prayers withing its timings.

5. The nature of the work itself must be lawful so that the income will be then lawful.

Wassalam.

Slavery rules were never started by Muslims but were already existing in different societies of the time when Islam came. Slavery rules are an outcome of wars. Islamic rules aimed to diminish slavery and finish it off. Slavery rules can not be taken as permanent rules for life but only in war and after war under many conditions.

Slave female from war between Nin Muslims against Muslims is not like a full wife of the owner who has the full rights of justice between her and other wife and inheritance from her husband. When the Muslims marries his owned female (Aman), she will then have all rights if the wife. With out marriage, she is called Sariyyah.

Wassalam.

As the real uncles are Mahrams, great grand uncles are Mahram as well.

This applies for husband and wife.

Wassalam.

Woman must avoid any act which makes her exposed to non Mahram men. Tattoo should never be seen on her body by non Mahram men. She can put tattoo on parts of her body which are always covered and never seen by non Mahram men. Tattoo should not be immoral nor include any of the holy names of Allah, the Prophet or the Infallible Imams.

Wassalam.

Abortion is not allowed in Islam at all unless to save the life of the mother. Those who help in abortion except for saving mother's life are committing a major sin and the money earned for Abortion is unlawful. You should advise her not to ruin her life by committing a major sin no matter how much money she might earn, because it is unlawful money and the sinful act will lead to hellfire.

Wassalam.

She can remarry the same man after she invalidates the Khul’a by talking back what she gave to him,then the Khul’a will turn into usual Talaq and then she can re marry to him. Most people misunderstand the meaning if Khula and think that it a one sided divorce from the wife to her husband. Khul’a in fact is a type of Talaq in which the wife gives an amount to her husband to make agree to divorce her, i.e. she pays him to free her from the bond of marriage. If she takes back what she gave him, the Khul’a will be invalid and the divorce will be a usual one Talaq.

Wassalam.

Yes, post-menopausal woman does not require to observe Iddah after divorce or termination of a temporary marriage. This rule is only for those women who have no menstruation because of their passing the age of menstruation. This rule does not extend to women who had hysterectomy and no longer menstruate. Such women who are in the age of menstruation require Iddah.

It is worth mentioning that Iddah of Wafat after the death of the husband is obligatory on every wife. It is four months and ten days from her knowledge about his death.

Wassalam.

No , it is not permissible for a Muslim woman to touch a non Mahram man even with gloves unless there was an urgency. Cosmetic procedures are not life saving medical urgency, that is why it is not a valid reason for a Muslim woman to touch a non Mahram man even with gloves.

Wassalam.