I'm running Moodle on my iBook for development purposes as well. The admin access you're talking about -- you mean admin access to Moodle, correct? Or are you talking about admin login to your iBook?
If it's Moodle you're talking about, you didn't mention the version you're using, but as of at least 1.4, failure of Moodle to set a session cookie during login would put the user back to the login page, without an error message. Very frustrating for users who didn't know what was going on. Look at your cookies and make sure a session cookie is being set.
Installing and upgrading help
New Install On iBook ... Can't Log In
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