1) Apparently, once upon a time, priests would build power and pass it down to their children. This is why the church instituted the celibacy rule. EDIT: Actually, like most things, it's more complicated than that. See comments below.
2) For 1200 years, women priests were part of the Catholic Church. Not sure why they outlawed that one.
3) "An unjust law is no law at all." - St. Augustine.
Click the image to go to the Up to Date story.
Just some notes from the current Up to Date show on NPR.