Hi noidol,
The WordPress native embeds only support limited parameters using the supported short code parameters (note – not the same thing as the YouTube command line arguments). For more information, please review: http://codex.ww.wp.xz.cn/Embeds
If you want to add the &rel=0, you wouldn’t want to use the built in embeds. Instead, use the YouTube generated code as discussed in this thread: http://ww.wp.xz.cn/support/topic/embed-youtube-and-not-show-related-videos-when-video-is-finished
Alternatively, you could source a plugin or look at modifying the oEmbed scripts that WordPress uses. (http://oembed.com)
Thanks for the answer.
I found a plugin that does the work