1 No, although it probably is peaceful as well - it's more a sense of indulging an error or incompetence or potentially annoying behaviour, 'putting up with it'. Perhaps I've guessed the context wrong, but is it Peggotty being maternal to young David?
2 It's not an exceptional. The focus was on the event. It's usually sad to say goodbye to one's mother, but in this case David is thinking how sad the event was.
Student or Learner