will find you a proper closure. But, instead of screwing new holes and compromising the wood that the screw will fit in is somthing that you want to not do. I find that using longer screws and appling shims or even pennies under the hinge will cause immediate results.
For example a penny under the lower hinge will cause that lower door to push away from the jamb on the bottom and close up on to top and then a penny on the top will cause the inverse. Tweaking the hinges will fix the problem.
What has happened in most cases is the door frame was once square, now with time and movement the frame has shifted and the door might still be square, so you need to shift the door to the jamb current position which is different from original install.
If you have to re drill holes and you want to plug up a unused hole and possibly drill off center from that hole, insert a golf tee in the old hole, tap it in and saw if off even and now you have new solid wood for a drill or screw hole.