My oldest daughter likes math and biology. They are all good at math and like science. There are more men on Cassini than women right now, but over the years I been at JPL more and more women are becoming scientists and engineers. Some are now Project Managers or Project Scientists. No, most people at NASA do not have Ph.
Most people here are engineers, computer technicians and managers.
I've read that the tiny moons around Saturn may help the rings survive. Yes, the tiny moons help the rings survive by keeping them from spreading out and disappearing. One narrow ring at Saturn, the F ring, has a shepherd moon on each side to keep it together. The tiny moons also create wakes and waves in Saturn's rings. People will probably not go to Mars for another 30 or 40 years.