I do have an account there, but for some reason it has a few "reject" shares. Is there some way to get them? Am I doing something to reject them?
Rejects should mostly be stales. This just means that you submitted a share, but it was invalid because a block had recently been solved and your work was out of date. Its most common on the getwork protocol, so you are better off using a stratum server (check your connection details). Dupe means duplicate and Other is just what it says. You can't "get to them" because they are worthless! As long as your accepted shares are in the high 90% range there is nothing much to worry about. Just get your login hours up (browse the threads) and a couple more posts and you can ask for help on
https://bitcointalk.org/index.php?topic=49417.0 (go do some reading there now, it will help clock up your login time).