1. I feel that movies of the Depression era (and specifically musicals) were escapist, trying to lift the moods and energy of the viewers even if only for a few minutes. They also presented a bright goal, some representation of a better / more glamorous / carefree way of life that was a possibility with just a little luck....
2. Work hard, develop your talents, and maybe, just maybe, you'll catch the eye of someone absurdly wealthy to rescue you. Be a good person, and that goodness will be rewarded somehow.
3. Not being very versed in the code or pre-code, I can only imagine that the product created had a certain modesty that it might not have had otherwise. She's fully dressed in her dressing room, and nobody sharing the dressing room with her is in their skivvies.