The "deprecated" has nothing to do with your flash stuff. The "deprecated" comment is related to other text which you have no need to use.
Your flash objects themselves are loading on your page just fine.
The one in the middle of the page is looking for content to display, but isn't finding it. So, that means however you've written your flash app, you've got it looking for images or content or videos etc that are in a folder that it can't find or access. Usually such things need to be in either the same folder as your swf file, or else they need to be in the root of your site; or you could just hard-code the full URL path to them directly in the app.
I don't see this being a Zen Cart issue specifically.
Unfortunately for you, this forum isn't focused on how to correctly write flash applications. If you're stuck, you might look for help with that in another website/forum dedicated to such a topic.
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BTW, your multiple posts on the same topic have been merged. Please don't start duplicate discussions of the same thing in multiple places.*