You can solve the issue by editing the url's.
Anyone can try HTTPS with YouTube embeds today?simply change the protocol portion of the URL from http to https.
For example,
Code:
http://www.youtube.com/embed/Zhawgd0REhA
Becomes
Code:
https://www.youtube.com/embed/Zhawgd0REhA
--------------- Added [DATE]1381113811[/DATE] at [TIME]1381113811[/TIME] ---------------
I would read the documentation on the CMS,
How To: CMS