RE: Archery Competition
TFOX is right. Local shops usually know where local clubs are and often have flyers posted as to what shoots are where and when. There is nothing magical about shooting some 3D shoots. There are classes for everyone including those who just want to shoot their hunting equipment. In fact, that's probably the biggest division. The whole idea is to get out there and shoot, meeting new friends and having fun. Go for it.
Frankly, I'd advise joining one of those clubs if ther is one close enough. Stay in the loop, so to speak, and who knows, maybe the bug will bite you.