Hi, you don't need your PR card to get a SIN# or apply for most provinces' healthcare (you will want to confirm which province you are in).
For your SIN#, you need to go to a service canada office in your area. All you need is your COPR and passport.
If you are in ontario, and you are applying for OHIP, your COPR and passport will count as 2 of the 3 required documents to apply. you will need to go to service ontario's website to look at the required document list and see what is required for proving residency. the list is very strict. You can then take everything to the service ontario office in your area to apply.
Basically, in most provinces, the COPR and passport work for everything you need a PR card for (this is true for Ontario). There are some exceptions to this rule, as some people have posted about issues in some provinces.
