My camera says it fully charged and then it will just shut down.

If you've tried using a tripod and the pictures are still blurry, you could either have a dirty lens or an out of focus camera. Try cleaning the lens and making sure the camera is in focus before you take a picture. If this doesn't help, you could be using an inappropriate memory card. Be sure to use an approved memory card for the camera. Check out the troubleshooting page for more info about your camera.