Should vowed fast be offered in consecutive days, or not?

Vowed fast should be offered in line with what was originally intended by the vow-maker, either consecutively, or not.

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).

A woman used contraceptive pills, and her menses exceeded(15) days, is it permissible for her to fast?

The maximum of menstrual blood is(15) days, but if it exceeded that due to a medication, or the like, then it is Istihadah(bleeding outside the monthly period), and in this case she should perform Ghusl(ritual bath), pray, and fast. Moreover, she is obliged to make up for the missed fasting days which exceeded her regular menses.

There is a job opportunity in the Nuns Hospital. Is it allowed for me to take this job given the difficult living conditions and the high rate of unemployment?

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 of his family and companions.

If your work is lawful and has no effect on your beliefs, then there is no sin on you and do your best to represent the true face of Islam. And Allah The Almighty Knows Best.