Is there a minimum distance required between holes in the ceiling dry wall to prevent in cracks or weak in between areas?
as long as all of these are true, you should be good to go:


your recessed cans are properly anchored to ceiling joists
your speaker cans are also anchored to joists
your ceiling drywall does not have anything suspended from it, unattached to a joist


you shouldn't have anything pressing down on your ceiling drywall; it's only something that covers up your wooden understructure. you do need to ensure that there's no load pulling down on it, and you should be OK.