Mmm, well, I sort of expected a mismatch between the version of Jira and the docs, but https://confluence.atlassian.com/display/JIRA050/Creating+Issues+and+Comments+from+Email has those flags too.
The next question is what handler you have chosen? Not all of them have CC options...
No, that's not a "handler", that's a "mail service".
A mail service connects to the mailbox and picks up mail
A handler tells Jira how to process messages that the service shows it.
Your service is (probably) fine. You need to look for the handler section in the documentation, not the service. If you're looking at your "incoming mail" page in the admin section of Jira, then try clicking "edit" on an existing one - you'll see the option to change the "handler" - the list offered matches the handler titles in the doc.
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