Is it permissible for a Muslim woman to wear trousers at home?
Wearing trousers at home isn't prohibited so long as non-Mahrams do not see her. And Allah Knows Best.
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.
What is the ruling on someone who perform their prayer after finishing it because they believe they missed a Rak'a, a prostration, or that they did not perform it correctly (thinking their prayer was invalid)?
If he was sure that his prayer is void then reperforming it is an obligation along with figuring out the reason of invalidity so long as this wasn't out of uncertainty. And Allah Knows Best.
Is it permissible to fast on behalf of the dead who died owing missed fast to make up?
His relative should fast on his behalf, and it is permissible for the guardians to give permission to non-relatives of the dead to fast on his behalf as well. And Allah Knows Best.