It is permissible for a woman to put henna on her hands and nails during her menstrual period and at other times. A number of the jurists regarded it as recommended because then she does not need to remove the paste for the purpose of doing Wudu.

There is nothing wrong with wearing eyebrow rings if it is the custom of Muslim women in your country and it does not cause any harm. For more, see the detailed answer.

Tattoos are haram in all forms, whether they cause pain or not. Tattooing involves changing the creation of Allah. Prophet Muhammad cursed the one who does tattoos and the one for whom that is done.