I would suggest this is actually in the wrong forum, but having said that.... IANAD, and my coding skills are more than a little rusty, but I seem to recall there is an element in the Site Admin > Appearance >Additional HTML that allows you to add a header to every page, or if it could be refined, to every course page. It would be a nifty bit of coding, without having to hack core code, that would do what you want it to do. You will have to do the legwork here, but there is plenty of Developer documentation and help in the Developer's General Forum.
Teaching with Moodle
Copying course header across whole moodle site
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