If the situation is as you describe, that you wiped over your socks after having put them on when you were not in a state of purity, because you were unaware that that was required, then you do not have to make up those prayers according to the view of a number of scholars, but if you are able to make them up, that is better and is more prudent.

It is proven that the Prophet wiped over his head cover, and there is no difference between the head cover of a man and that of a woman. In fact, it is more appropriate that this should be permissible in the case of women.

Wiping over exfoliating socks during wudu is permissible only if they are thick, cover the ankles, and do not allow water to pass through.