Number one, is that there was a crack in the length of the shaft from being hit by another arrow in a target. This is fairly common when shooting targets from different angles with arrow already in the target.
You must check your arrows everytime you suspect that it could have possibly been hit by another arrow in the bale.
You do this by bending and twisting at the same time. Any delaminations of cracks will bulge up. It's a fairly simple exercise, but the only way to determine if any damage has occured to a carbon arrow. Aluminums just dent and you can see it plain as day. Carbons don't show a thing most of the time.
It is possible, if your set up is way out of tune, that it could be adding the problem or causing the arrow to hit the riser badly. You should be able to have someone see your shot and determine that in a second though. I mean it would have to be way out of whack!
Breaking arrows on release will give you target panic worse than anything you could have happen to you next to breaking a string. If you feel uncomfortable shooting, switch to some aluminum arrows for a while.
This will bring back the confidence in your shot, then make sure to check your carbons regularly for delams and splits.
Cheers,
Pete