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256 Questions

Wife must fulfill her duties towards her husband even if the husband is a bad person committing sinful acts. Husband suns are on him but it can never exempt his wife from her duties as a wife. Her suffering because of her husband's bad deeds will add in her reward as patient person as lady Asian tolerated her very bad husband Firaon.

Wife can not refuse her husband nor live separately. Yes she should never help him in any wrong act.
'Wassalam.

If you mean by shortening your Prayer performing it as Qasr, then it is obligatory to pray Qasr during traveling unless you reach to a place where you intend to stay less than ten days.

'If you mean by shortening your prayer, performing it with less recommended acts, then it should be clear that if your recommended worship clashes with your obligatory duties as a wife, then you should not ignore the obligatory for the sake of the recommended.

Wassalam.

If his father is a Sayyed, he will be a Sayyed as well just like his father.

Wassalam.

Wa Alaykum Assalam wr wb.
Yes it is permissible to do all acts mentioned in your 1 and 2 questions.

Wassalam.