Is a woman`s neck an Awrah(private part)?
It is an Awrah, and it is forbidden for her to reveal it before non-Mahrams(Marriageable men).
Should one obey his mother even if she was wrong?
Obeying one`s mother is mandatory in matters that are beneficial to her and as long as she drive her children to commit sin.
What is the ruling on swearing on the Holy Quran and breaking that oath?
It is impermissible to swear on the Holy Quran in vain, and it is also impermissible to subject it to such an act since breaking the oath after swearing on the Quran entails an expiation.
Does ill-gotten money hinder the answering of the Du`a(supplication) and the means of subsistence?
Sins hinder the answering of the Du`a, and deprive the sinner from means of subsistence; whereas, acts of obedience facilitate making a living. Allah, The Almighty, says in the Holy Quran: “And for those who fear God, He (ever) prepares a way out. And He provides for him from (sources) he never could imagine.”{At-Talaq/2-3}.