The CSQ is not what makes it take longer for Quebec. What makes it take longer is that Quebec has caps in place for how many PR visas they will allow to be approved annually. Expect a significantly longer wait than other provinces.
Your wife needs to be in Canada when the OWP application is submitted and the application needs to be submitted from within Canada. If you try to play games with the process, it's just going to end up delaying things.
Once you have AOR for the spousal sponsorship application and the wife is in Canada, the wife can apply for an OWP. No, the wife cannot start working as soon as she applies for the OWP. She must wait for the OWP to be approved and issued.
I would very strongly recommend that you remove your personal contact information from your post. It is not safe to post this information here publicly.
To apply for PR under H&C, you would first need to travel to Canada as a visitor on a tourist visa. This is not a sponsorship program and you...
This may be because of the Quebec caps. If so, really nothing you can do but wait. When did you originally submit your application and under which program?
Complete your language test asap.
How many points will you have under EE with the year of Canadian work experience? This may still not be enough to be selected.
Talk to your employer about doing an LMIA and switching to a closed work permit. That is the best option by far.
Without a valid PR card or PRTD you will not be able to board the airplane on your return back to Canada. You are required to be holding one of these things in order for the airline to let you board. If you don't have one of these things, your problem won't be at the Canadian border. This...
Yes, complete the medical. You were approved under the assumption that you would get a medical done. Failing to complete the medical will create issues for you later.
An extension only allows her to remain in Canada longer, not to re-enter Canada. There is no way to guarantee she will be allowed to re-enter Canada. That is always up to CBSA.
This generally means security and background check are still in progress or even not started. Background and security checks where China is involved tend to take quite a bit longer. I would prepare yourselves for a bit of a wait and be happy if you have a decision by August.
There is no issue but keep in mind that processing times are long and submitting the application does not give her maintained status in Canada. So she will need to find a way to keep her status legal independently.
I assume both of your parents are deceased.