Your comment about the custom post type not supporting more than one category confuses me. What you’re trying to do would be best done using a custom taxonomy that’s attached to your custom post type. http://codex.wordpress.org/Function_Reference/register_taxonomy. Using a custom taxonomy would give you a way to have pages bases on each term easily.
To do it using a custom field you’ll need to create templates for each of the “Tags” and do a custom WP_Query for each. For more information on querying posts based on custom fields see this how to: http://www.advancedcustomfields.com/resources/query-posts-custom-fields/
