Yes, it does indeed appear you have a 1982 small date copper. However, the rare one that's worth quite a chunk of money is the 1982-D small date copper. The one you've got here is a Philadelphia minted coin, hence the "no mint mark". So while the 1982 small date copper is a more difficult one to find than the large date, it's not as rare as one may think. Keep hunting though! Maybe someday you'll find the big one. Still worth hanging onto if you don't already have one. They are a bit tougher to find than a large date copper.
Thanks! I knew that it wasn't the "Big One!" But when you've looked through ahgezillion 82-83 and weighing them I was just happy to find a small date!! Lo!. Can You guys take a look at my post on the 1984 Lincoln on the reverse it's something I've never seen. Its not linear or die polished and give me some feedback on what you think it is. Thanks!