Only the ordained wear vestments, only professed religious wear habits.
Seminarians may wear clerics with permission from bishop, normally though, they need to have completed pre-theology requisites and currently studying theology.
Women do not wear vestments of any kind. But from time to time, those in the choir will wear "robes", but it is not tied to the liturgy or to any Office.
Only an ordained priest or deacon may read the Gospel during mass. So that would not include women. But any trained lector may read from the first or second readings of the mass.
It is inappropriate for a lector to wear something resembling vestments. Similarly, it is equally inappropriate for EXTRA-ORDINARY ministers of the Eucharist to wear anything resembling vestments. However, in some other countries, only professed Nuns are permitted to even become Extra-Ordinary ministers of the Eucharists, and they would indeed wear their habit.
Traditionally, altar servers would wear a Cassock with surplus, as the alb and cincture are reserved for an office. However, that has been terribly abused during the past 40 years.
It is important to get it right.
Pay attention to the colors of the chasible. You won't see a priest wearing green for Christmas or Easter for example. I know red is so dramatic for the effect of tv., but use the colors correctly, its offensive to see the priest delivering the homily in mass wearing only his clerics. It just demonstrates the lack of effort to show respect for the audience.
Hope this helps.
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