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.

You can offer prayer with makeup on so long as the makeup is not impure because purity of clothes and body are essential for the prayer to be valid.

If there is some defect in the nose and the purpose of the cosmetic surgery is to remove that defect, then there is nothing wrong with nose jobs (rhinoplasty). But if the purpose is simply to make it more beautiful, then it is not permissible to do this cosmetic nose surgery.