Jim, rotate the wheel a little at a time and check the chain tension. If it changes, or if you see frozen/stuck links, your chain is shot and should be replaced along with the sprockets. Also, if your chain tension adjusters are nearing their limit (last 3 notches in frame) it might be time to consider replacing.
To check for a stretched chain, pick up a link on the rear sprocket and pull it away from the sprocket. If you can lift it so more than half the tooth is showing, it's time for a new chain (and sprockets).