Temporary tattoos come under the same ruling as dyeing with henna, if they are done in the manner mentioned in the question and not in the way that is forbidden.

It is prohibited to remove any hair from the eyebrows, whether all the hair is removed by shaving, or some of it is removed by cutting. Anything apart from that is permissible, such as removing hair from the arms and legs, and the area between the eyebrows.

It is permissible for a Muslim woman to dye her hair any color other than black, so long as that is not imitating non-Muslim women.