buckisland
Welcome to the sport. From the info you have given, Im not sure were to start. If you are not using a release, Id suggest getting one. Releases will help with a smooth string release. Do not grip the bow, but craddle it in the U created by your index finger and thumb. Keep your bow hand open while shooting. Hold your arm out in front of you with the elbow pointing out horizontal to the ground, do this by simply turning your shoulder inward (if you are not already doing this it will feel real funny at first). Use a arm strap or finger strap to catch your bow after the release,. When you release the bow it should fall from your hand, dont try to catch it, thats what the arm/finger strap is for. Dont lower your arm until you see the arrow hit the target. Make sure your anchor point is the same everytime. Biggest key to good shooting is practice and consistancy. Do every thing the same every time
As others have mentioned, make sure your bow is tuned good. You might check with a pro shop to find out if it is in tune, or go to easton.com and download their free tuneing manual, it is a very good one. I have it and still pull it out from time to time.
This is very good advice from Arthur
About hunting... Do you have a distance where you can hit what you shoot at, every time? If you can keep all your shots in a 6" circle at 10 yards, then go hunting. Just make sure and not shoot at animals that are further than 10 yards away. Knowing your limitations and hunting within them, regardless of the temptation to attempt a shot you know is outside your ability, that's the mark of a true, ethical bowhunter.
Good luck