After hours of searching through coding (most of which I don’t understand), and doing many MANY Google searches, I finally found an answer to the missing play button issue. The post that helped me is here. I had to find the mediaelementplayer.min.css in the wp-includes/js folder and change the controls.svg to .png.
I still need help with the Template being overridden if anyone gets to this post.
Thanks.
Same problem here, along with several others. Just downgraded to WP 3.9, and it didn’t fix the problem like I had hoped. Maybe we could downgrade the plugin? Would that work?