If you had a self-hosted Wordpress blog, you could use the Covert VideoPress Theme which is setup for videos including Youtube. I'm using it on the site below.

If Disney Channel's People don't have any problem then, Yes.

It's definitely legal, and I believe they will appreciate your work, because your are helping to promote them.

yes

I plan on developing a blogger site that basically has every Old Disney Channel series uploaded. It'll essentially be YouTube videos of every episode of every Old Disney Channel series I can find from YouTube. I've already found like 6 full series' and I plan to start embedding them.

But is this legal? I'm just embedding other people's YouTube videos.