I understand what you mean when you say "Islam religion(not Muslim people)" but I think it is impossible to disintegrate any religion from the society and treat it as an abstract object.
1. Women rights.
2. I grew up in Turkey and in Turkey there is a mandatory "Religious Culture and Morality" course throughout the elementary and high school education. Apart from my immediate family every relative I have is a practicing Muslim. So I got the information through education and experience.
3. I can't think of any question about Islam particularly but on religion in general I would probably ask "how is your definition of God different than the definition of a self aware/conscious universe?". Or similarly "how do you feel about your God, still having done everything you think it did, not being self aware/conscious?".