Is there more to this than that tweet? They were saying they would write new songs back in September. Did they already make something new? The tweet implies that hearing new music & the tour continuing are concurrent events.
When you block a person, they can no longer invite you to a private message or post to your profile wall. Replies and comments they make will be collapsed/hidden by default. Finally, you'll never receive email notifications about content they create or likes they designate for your content.
Note: if you proceed, you will no longer be following .