It sounds as though you just need to create your post type templates. The archive of storylist posts will look for a template named archive-storylist.php to display posts.
A single post of type storylist will attempt to use single-storylist.php to display that post.
In either situation, if those files do not exist, WordPress follows the template hierarchy flow to find the next suitable template.
Good detail on the process can be found in WP Codex here: https://codex.wordpress.org/Post_Type_Templates
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