First of all sis, you don't need to change your name for the sponsorship. Most of the people here, after the wedding and release of NSO marriage cert, we submitted our apps right away.
Second, if you are in Philippines while the sponsorship, you call it outland, and unless nasa Canada ka sis for a tourist visa or something, outland application lang ang choice mo. All the applications will be sent to CPP-mississauga first and then tsaka nila i-forward sa CEM.
About the medicals, the checklist says to submit it with the complete package. We always advice to have your medical done just when you are ready to mail you app coz it will only be good for a year. Unfortunately, CEM processing time went up to 14 months, although this not the average, this could be a worst case scenario.
All the best to your app