Is it permissible for a woman to swear a false oath by the Holy Quran to please her distrustful husband?

It is forbidden for a person to do so since this is considered a false oath(Yamaan Ghamoos) which dips(Yaghmos) its taker in Hellfire if he/she doesn`t seek repentance, and he/she has to expiate for that oath. You should avoid any doubtful acts so that your husband`s chest remains clear from the evil suggestions of the devil.

Are all the children of a suckling woman considered brothers to the strange child whom their mother had breastfed, or just to the one who had suckled with him?

All the children of the woman who had suckled a strange child are considered his/her brothers and sisters.

1- A young man whose father and grandfather are dead. Unfortuntly, he passedaway leaving a mother, two sisters and a brother. Do his paternal uncles inherit him? 2- A man died leaving daughters, a wife, brothers, a mother or no mother. It is well known that the daughters inherit two thirds and the wife one eighth. To whom does the rest of the estate go and what is the evidence on that from the texts of Sharia?

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.