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.
I have concluded my marriage contract at a Sharia court; however, one day I was talking to my fiancée over the phone and she got on my nerves leading me to utter one divorce. This is knowing that I can`t tell my her father because he is very strict and will not accept that at all. What is the best course of action that I should pursue in this situation?
All perfect praise be to Allah the Lord of the Worlds. May His peace and blessings be upon Prophet Mohammad and upon all his family and companions.
When divorce takes place before the consummation of marriage it is called Ba`in divorce* (Minor irrevocable divoce), so your wife is considered unlawful to you until you conduct a new marriage contract and pay Mahr* , and you should visit the Iftaa` Department in order to know the correct Fatwa. And Allah The Almighty Knows Best.
* Minor irrevocable divorce Talaq Al-Ba'in Binona Soghra: It is a divorce where the husband cannot take his ex-wife back unless with her consent, conducting a new marriage contract and paying new bridal wealth Mahr.
* In Islam, a Mahr is the obligation, in the form of money or possessions paid by the groom, to the bride at the time of Islamic marriage. While the Mahr is often money, it can also be anything agreed upon by the bride such as jewelry, home goods, furniture, a dwelling or some land.
Should missed Sunnah prayer be made up?
Making up missed voluntary acts of worship is from Sunnah.
Is it permissible to repeat the Istikhara (seeking guidance) prayer, and is it a condition that one should sleep after offering it?
All perfect praise be to Allah,The Lord of The Worlds Istikhara is offered once, but it is permissible to repeat it, and sleeping after offering it is not a condition for its validity. And Allah Knows Best.