So I've developed a WP theme I'm running to house learning materials at my uni and I want to share it in the theme or plugin directory. When I run it through the theme checker, some of the back-end functionality (custom post types and filters) is flagged as 'This is not a theme!', so I'm wondering how to best approach the project now. Essentially the look and feel can't be separated from the back end functionality, so:

• Can I develop a plugin that includes theme elements?
• Should I separate it out into a theme and plugin that really need to be installed together?

Any thoughts or feedback welcome

Current site is here for reference: /