If your picture on file(for PR Card) is okay, you will get ur pp by march mid (2-4 weeks fr stamping, sometimes faster).
You can call to book an appointment only after ur passport and copr. CIC call center will pass your request to the local CIC office and they will contact you with the date of appointment for landing, which may hv a wait time of 4-8 weeks or even more or sometimes less.
Once you get your PR visa stamped, you cant apply for a WP anymore. Probably you can call CIC after receiving your COPR & PP and check the wait time, else make a trip to the border.