What should the man, whose wife wasn`t on good terms with his mother, do?

Both the mother and the wife have rights on the man in question; therefore, each should be given her rights justly, and he should resort to wisdom to please both of them and make reconciliation.

What is the ruling on singing and listening to it while accompanied and unaccompanied by musical instruments?

Singing and listening to it unaccompanied by musical instruments is permissible as long as it isn`t practiced as a profession and is done by a man to other men, or a woman to other women with maintaining that no temptations are involved. The words of the song should be Islamic, and if temptation was likely to happen, then the singing becomes definitely forbidden. Temptation here means: whatever leads to committing a sin. In Islamic Sharia, singing accompanied by musical instruments such as the lute and the like is forbidden, and listening to it as well. The reason behind that is the fact that the musical instrument itself is forbidden. However, striking the tambourine and singing Islamic songs are permissible in weddings, circumcisions and the like.

What is the ruling on a woman driving a car?

It is permissible for the woman to drive a car, but it is impermissible for her to travel unaccompanied by a Mahram(Unmarriageable kin).

 If a disposable water bottle has the logo (Al-Aziz Water Shop) ,is it allowed to throw it away considering that (Al-Aziz) is one of Allah`s beautiful names?