Embedded Flash Video Controllers (MojaveExternalPlaySeekMute.swf)

I am struggling to implement this controller: MojaveExternalPlaySeekMute.swf

It allows the user to control the flash movie that I have embedded with sound/video player controls. I am redesigning a website but putting a lot of the same media from the old site into the new site. I just cut and pasted the HTML referring to the flash media files into the new HTML pages. The problem is, when the videos play on the old site they feature this controller. Now when they play on my new site, the controller is not displayed.

What did I break? How do I get the flash videos to display with a controller again? Thank you.