All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
If you mean putting on this make up and going out in front of non-Mahram men, then it is not permissible for you to wear make up in this case because this contradicts the Saying of Allaah (which means): {…and not expose their adornment except that which [necessarily] appears thereof.}[Quran 24:31]
As regards putting make up at home or when a woman covers her face after putting it, then it is permissible if this does not lead to any harm.
As regards wearing Niqaab (face covering) then we ask Allaah to enable you to convince your father to agree that you wear it, and you may seek the help of some scholars and righteous people in this regard.
Finally, it should be noted that covering the face is a controversial issue among the scholars ; for more benefit, please refer to Fataawa 83702 and 81554.
Allaah Knows best.