They dont really mention her except the fact that he was supposedly in love with her, his new problem arises after meeting juliet. Who he now is in love with but knows he cant have her without causing a situtation, but he obviously doesnt care.
The verb is "put" because she is "putting" down her book.
Do you know, what punctuation marks are? Punctuation marks are symbols that indicate the structure and organization of written language; as well as intonation and pauses to be observed when reading aloud. Full stop, comma, semicolon. question mark etc are punctuation marks.