RE: Arrows entering target
Bag targets are not a consistant medium so the arrows can often look like they are pointing in different directions or look like they are kicked off to the side or something.
If your arrows were hitting at an angle they should all be the same, not different from shot to shot. Shooting into a more solid target like foam or a 3-D target might give you more info on this.
Try to paper tune your bow at different distances and see what the arrow looks like when it is going through the paper. That would be the best way to tell. You need to have fairly consistant form and grip to do this though.
Paul