3. Excluding some sections when "unread posts since last visit" are shown
I just checked using ignore board preference and I can assure you that "Show unread posts since last visit" does not show post from a board which is in your ignore list.
That is a notification bot for when your name is added to a post or reply and not when your post/reply is quoted. The only way to do that now is to revisit the thread or be notified of any new post
It's same thing if I am not misunderstanding.