Step-by-Step Guide converting Articulate modules with Flash to HTMLS 5

Judging by the files available in your published folder, it has already been published to include the HTML5 output. So when flash is no longer supported in browsers, your course should fall back to display the HTML5 version, and until then, the Flash version.

Unless there is specific content in your course, like Flash SWF, FLV, etc., you should be good to go. Otherwise, you'll have to recreate that content either right in Storyline on the stage w/animation, etc., or in some other approved format that could then be imported into Storyline.