Same here. I did my medicals on May 27th and awaiting my PPR. CIC's way of processing applications is pretty random it seems. There were applicants who got their PPRs in about 3-4 days after their medicals were received by CIC.
One does not need to provide DOB and/or Client ID. Only your name and Application number will suffice. They may or may not get back to you depending upon whether someone has read your email.