Does HTML5 audio/video support OMA DRM or any third party DRM?
No, it doesn't.
At least, not yet. But given the trouble we're having getting browser manufacturers to even agree on a standard format I can only imagine how hard it would be to get them all to support a standard DRM (or even to support it at all!)
Let's think about what it is that you're trying to do.
HTML5 sends information over the HTTP protocol. This includes embedded flash videos, HTML5 {video} tags (if ever finished!), pictures, lyrics, text, links, and javascript.
All of these components are always transmitted in plaintext. If HTML5 were to include any form of protection on these elements (i.e. tags that indicate that you can't copy?... {drm}{/drm}, etc), it is still up to any software interpreting this HTTP data, to decide whether or not to enforce it.
You can look at a video tag such as youtube or dailymotion - the source it references is always accessible at a standard HTTP address - with or without DRM, the means of downloading this video are within everybody's reach!
This implies that the protocol, by design, does not allow for copy-protection.
For future reference, ask yourself "Is the data (and how it is operated upon) ever in the customer's hands?". If the answer is 'yes', DRM does not make sense to apply.