There is no difference between Hindu and Muslim women. The differences are based on how individuals were raised, educated etc. It has nothing to do with one's religion.
It is not true. Nothing in Islam religion or even Islam traditions calls Muslim women to pierce their noses. If any Muslim woman, exceptionally, is piercing her nose then it is a matter of following some fashions but not per Islam religion.
Some Muslim men and women have been effected by the propaganda. Thats why they show nothing except their eyes.
Specifically Muslim men (as opposed to Muslim women) pray in the front and center of a Mosque. Muslim women pray at the sides or the back of the mosque so that their image does not distract the men.
The women usually chooses,
Ethnicity has nothing to do with it
In Islam, it is generally not permissible for Muslim women to shake hands with men who are not their close relatives, as physical contact between unrelated men and women is discouraged to maintain modesty and avoid temptation.
Basically, you are allowed to talk to anyone if it is for necessary reasons. For example, a Muslim man can talk to a Muslim women or a non Muslim women if it is necessary. Also, a Muslim can talk freely (within boundaries) to any other of the same gender. For example, a Muslim man to another Muslim man and a Muslim women to another Muslim women.
Muslim women are ought to wear veils
Muslim women never lost their high status.
Islam is passed through the male line, so in many cases Muslim women will ask Non-Muslim boyfriends to convert to Islam before marrying them. There is nothing wrong with a Muslim woman marrying a convert to Islam within Islamic Law or Custom. However, Muslim women will often object to marrying a man who will not convert to Islam since the children of the marriage will be Non-Muslims.
All obligations and requirements per Islam religion that should be maintianed and followed by Muslim women are the same as that to be followed by Muslim men. Accordingly, you can refer to the question below on the fundamentals of Islam where all of them apply for both Muslim men and women.