RE: Tune or Retune??
Shoot some broad heads and see what happens. If they are still on don't mess with it. Chances are you will shoot it again and it won't happen. Your form may have been off a bit. And if the arrows do Kick or wobble a bit when they come out it isn't the end of the world, that is what your fletchings are for. As long as our broad heads perform the way you want them to you will be fine
Also if your tune would have changed enough to effect arrow flight it would have also changed your impact point since either you nocking point or rest would have had to move.
Paul