Your information is incomplete. First of all, your landing date is irrelevant. There is no separation between days before and after PR. It is also irrelevant if you were away for 183 days in a row or if it's spread out over several trips.
Let's say you will apply on October 15, 2017. Then for each country, count the days you were in that country between October 15, 2013 and October 15, 2017. If for any country the number is higher than 183, you need a certificate. It doesn't matter if that was before or after PR.
From your message it is impossible to check that information since you don't provde where you have been in 2013-2014 and where you have been since May 6, 2015. You are just saying if you were away from Canada or not. That is irrelevant. It matters if you were in ONE country for more than 183 days.
Thanks Spyfy: Sorry for bothering you again.
My complete information about my stay in Canada is as follows
entered Canada Sep. 2010,
left from Feb 2012 - July 2012, and
left from July 1, 2013 - Jan 10, 2014
Since Jan 10, 2014 I haven't left Canada except a few days
landed May 6, 2015.
Since landing I left only a few days to US on different period of times.
Hope this information is relevant now, am I eligible to apply? and what about police certificate ?