I think generally it's 4-8 weeks for the AOR, but since you were able to link it, I think you should be fine?
And for the second question, I'm not sure what you mean by sponsorship application. You mean sponsorship eligibility? Because there's no separate app for that nor is there anything separate to be linked. Eligibility is determined as part of the PR app. So you'll either have only the PR app linked, or both the PR app and the OWP app, if you applied for the work permit, since the work permit app is treated as separate.
I might be wrong and your case might be special, but this is the first I'm hearing of a sponsorship application, especially one that would be separate from the main PR app.