No one has confirmed Red John had anything to do with the private investigator. Getting a amateur to bug the CBI and then killing her like that is just unprofessional. The three dots are what identifies the Tyger Tyger group. I am certain they are not related, but i have no idea how Tyger Tyger knew RJ recited those exact words to Jane and decided to call themselves that. My only exlanation is that they are a group dedicated to catching Red John and will do whatever is necessary to achieve this goal and a member of the CBI team is apart of it, maybe Van Pelt or Rigsby? but then why would they need to bug the office? It is all very confusing and Bruno Heller can play this however he likes but personally i think this whole Tyger Tyger group thing is just stupid. I also think he will not cover all of the RJ mysteries he has left e.g; Roll Tide, He is Ma... , Rosalind's connection with it all, so i think Kira Tinsley was murdered by Tyger Tyger and not RJ and that Bruno Heller is in over his head.