Hi Nexus20!
Congratulations on your wedding! Do you plan to apply as an Outland or Inland? If you don't have any idea yet.. you can check the link below:
canadavisa.com/canada-immigration-discussion-board/spousal-sponsorship-t46995.0.htm
And then to answer your questions, Yes providing all the possible documents that the embassy may require in the future can make the processing more shorter. The link below will help you on preparing all your documents:
canadavisa.com/canada-immigration-discussion-board/how-i-organized-our-applcation-and-a-summary-of-all-helpful-tips-i-have-learned-t92449.0.htm
As long as the hospital is under the accredited panel physician.. you can take your medical their. Yes, one of it is St. Lukes!
cic.gc.ca/pp-md/pp-list.as
You'll only provide a copy of your passport on the initial application then once it has begun processing that's the only time they'll require you to send the passport itself. They will only request for the applicant's passport and not the sponsor's pp.
Hope that helps!
CC