I have a webpage that I use h1 tags multiple times within various DIVs and I style h1 for each div to be the appropriate size.
For example...
#conten
Just remember that your h1s are used to indicate context, not layout. So, there's nothing inherently wrong with having several on a page.
In this specific example, you need to decide if your left-nav h1s have the same contextual importance as your content h1s and your recent-news h1s. If a clear hierarchy exists in your mind, use your header tags to demonstrate it.