Ok. That clears up most of it. I'm still a bit confused by IVs though:
I heard that IVs have something to do with the base stats of a level 1 pokemon. Usually the stats that appear once you hatch a Pokemon range from 4-6 for Attack, Defence, Sp. Defence, excetra except for HP which usually ranges from 11-12.
My understanding was that a "6IV Pokemon" has "6" for all 6 stats, except for HP which is 12. So, do these base stats have anything to do with IV breeding/bettering a Pokemon at all, or is it all about checking with the IV checker after breeding with the destiny knot?