Of course they can
My Orthodox Jewish grandmother married a Reform Jewish man.
Yes, women can hold the Torah. Orthodox women will only carry and read from the Torah in female only prayer groups though.
Yes, but NOT Orthodox Jewish women.
Orthodox Jewish women cover their hair in public once they're married. One way to do this is to wear hats.
Some Jewish women do wear headscarves, particularly those who are Orthodox or adhere to more traditional Jewish customs. However, it is not a practice followed by all Jewish women, and there is no universal requirement for Jewish women to wear headscarves.
It is not permitted by Jewish law; and in Orthodox Jewish weddings the seating is separate for men and women.
No. That would be some Orthodox Jewish women. Not Muslim women.
(Orthodox) Judaism. Orthodox Jews believe that the Torah must be fully observed (Deuteronomy 13:5). They keep the laws of Judaism as codified in the Shulchan Arukh (Code of Jewish Law), which lists the laws of the Torah and Talmud. Torah-study is seen as very important (Deuteronomy 5:1); and the modern world is seen as subservient to the Torah (Talmud, Nedarim 32a), not the other way around. Other Jewish groups (Conservative, Reform) adapt, curtail or change the Torah-laws in contemporary life, to a greater or lesser degree.
Only Orthodox Jewish women do that.
Only in women's groups
It's an Orthodox Jewish place, and Orthodox Jews practice gender segregation.
Orthodox Jews observe the rules laid out in the Code of Jewish Law, which is a summary of the Oral Torah. For example, they pray three times every day, they keep kosher at home and elsewhere, they do not dance men with women, they don't drive on the Sabbath, and more.