They don't, but you can link your application to cic account and you can check status there. As for SIN, they will send you the new SIN number in mail.
With current situation, inland applicants don't need to do landing, they get the CoPR directly but need to mail out photos still. Also with new PR portal, you can simply upload photos.
Not sure about buying house or starting business, as much as I know you can apply for new SIN with CoPR. No service card though (if you are in BC), you have to wait for the PR card to apply for it.
You can link your application to CIC account, just log in your account and you'll see there is "link your application to your account", and then simply follow the instructions.