Sorry for the late reply......
ShubanPaiK brother,u and ur family can do ur Medical from anywhere of the world...No need to be done from same place....So its possible....Since CIC max of medicals are now e-enabled medical center.
For the PP submission, this is a bit issue for since ur stays are temporary.....When u rcv ur PP, according to ur current situation, u can contact with NDVO....If u require more time to submit the PP on NDVO, then u can request them to extend the time....Although in this cases NDVO tells the applicants to knock them again when u are available to submit the PP to NDVO and cancel the eaarlier request.....
And yes they usuallly take 2-3 months atleast in avg comparing the last year....
U can send Case Specific Enquiry – New Delhi by below link:
https://dmp-portal.cic.gc.ca/enquiries-renseignements/case-cas-eng.aspx?mission=new%20delhi
And ask ur query...
All the best...