Question one:
Yes, I grown up in a household with classical music around me. My parents were fond of classical music as well as literature. My sister and I grown up with R. L. Stevenson, Conrad, Calvino, Mozart, Rossini, Beethoven (just to name the fews I recall at the moment). Actually I still play my dad's classical vinyls with huge satisfaction.
Question two:
No, though my sister plays classical guitar.
Question three:
As seamless web of music. And as a natural interest and curiosity about art in general.