Is Zakah (obligatory charity) due on the items used in the trading process such as: cars , shops etc..?
No Zakah is due on equipments used in the trading process such as cars and the like.
What is the ruling of Islamic Law on saying the basmalah at the beginning of wudu`?
All praise is due to Allah, and peace and blessings be upon our master, the Messenger of Allah.
Saying the basmalah (Bismillāh) at the beginning of wuḍūʾ is a sunnah. It is stated in al-Minhāj al-Qawīm Sharḥ al-Muqaddimah al-Ḥaḍramiyyah (p. 27): “Its sunnahs include the siwāk, then the tasmiyah (saying Bismillāh), joined with the intention (niyyah), at the start of washing the hands.” And Allah Almighty knows best.
Is the marriage contract considered valid if concluded at home by the marriage official (Ma`zon)?
Yes, it is valid as long as it is registered at the court.
I`m a pious Muslim woman, but my husband isn`t, what should I do?
You should exercise patience, make supplication that Allah guides him to the straight path, and keep advising him kindly.