What's a good counter I could use? I would like to use a free one. I want the IP to be logged, visitors hits, unique visitors hits, referrals hits, how many visitors per each page, and so on. If you know of any counters that can do that, please tell me. Thank you very much.

If you have access to a scripting mechanism, such as PHP, you can easily make your own. cB has a tutorial here, in fact.