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Agreed with above. You are probably still flagged by Penguin and it will be very hard to get your backlink profile back in order. You can also try a double 301 redirect (301 redirect to a intermediary domain, then 301 redirect again to the new domain) in order to avoid passing the penalty while keeping your old domain.

The hierarchy of headers would require an H2 to be a subheading within the more general topic area of the H1. I can't imagine there would be any requirement for content between the H1 and the first H2, although, from the users' standpoint, it might help them to better understand what the page is about and how the H2's content applies.

Hi there Andy, I am searching for the answer for this question as well,  But So far my experience is that pages that rank for multiple keywords seem to have a added boost, which allowed it to rank 1st for the main target keyword..but to support that the page ranks on the first page for 4 or 5 different related keywords.

I would say both, your blog and guest post.  You want people to know that you exist, that is why guest blogging is great, because in addtion to the link, you are in front of an audience that otherwise would have never heard of you. But...if they visit your site, you need to have useful, relevant and helpful content so your new visitors stay on your page.  Secondly, you want Google to associate your keywords to your site. So do both, have great content on your site and write awesome guest posts.

Hi Andy, This is what I did one site that seemed to work very well - 350% increase (over previous year) in traffic 7 months after adding image galleries and blog for a tile company. Lots of descriptive content with keywords on each image on page. Images in blog posts 2-3 per week.  Share posts and images out to interior design bloggers and print media with online presence. Generate lots of posts (several per week) by external bloggers and media that link back to the tile company site images and image collection galleries, home page, and blog posts. I repost their posts on the tile company's blog that "so and so design blogger" did this great post with excerpt and link to them. These are all follow links in WordPress. Link out generously. Tweet out from blog the post with URL 3-5/day 5 days a week amid general conversation on twitter. Credit the great blogger who shared your content. Share post with URL on Facebook. Pin like crazy. GIve out, give credit to others, and watch it come back. Have fun!

I sugest to wait a little longer, or click on the feedback button on the left and ask someone at SEOMoz, they are very good at getting back to you.

Actually, Google often changes title tags, especially based on the query. They've been doing this for a couple of years now.