I feel sorry for JWs too. Even when they come to my door. They've never been rude or pushy (beyond disturbing people at home, of course). My brother has a JW friend, and he couldn't be nicer.
The child shouldn't have to sing the songs, but the school says she wasn't made to, so who knows? I am not familiar with them, but I would have assumed they were just folk songs, too, and being that restrictive over every little thing seems like a good way to ensure the children will grow up resenting their religion and leave it as soon as they are grown.