Is it permissible for one to shake hands with his uncle`s daughter?
No, it isn`t because he is a non-Mahram (Marriageable) to her.
Can a woman leading other women in Tarawih prayer recite aloud?
Yes, a woman leading other women in Tarawih prayer is allowed to recite aloud, as long as no non-mahram (other than unmarriageable kin) men can hear her.
My husband discloses all our marital disputes to his family. What is the ruling of Islamic Law on this?
All praise is due to Allah, and peace and blessings be upon our master, the Messenger of Allah.
It is impermissible to divulge spousal secrets or expose one another's faults, whether during the subsistence of the marriage or after its dissolution. The foundational principle governing marital relations is that it is built upon confidentiality and mutual affection. Divulging marital secrets constitutes a breach of trust and a grave sin.
A husband ought not to resort to his family to complain about his wife over every dispute, nor is the reverse permissible for the wife, especially when such actions lead to stirring up malice and animosity between the spouses or between their respective families.
Islam has enjoined the preservation of secrets in general and commanded against revealing them; safeguarding the privacy of the home holds an even greater priority. And Allah Almighty knows best.
If someone delays making up fasts for a year, can they give fidyah before performing qada?
Yes, it is permissible to give fidyah before making up the missed fasts (qada), because each is an independent obligation, and there is no required order between them.