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I know it's time consuming but best would be to create unique content for all those. You can play a lot with differences between keywords, call-to-actions and unique selling points in the title and meta description.

correct! and include a canonical tag on the variations pages to the master

This question is duplicate as well

Check this video http://www.youtube.com/watch?v=hy3_Rjc0Tso

Maybe this video from Matt Cutts helps answering your question: http://www.youtube.com/watch?v=hy3_Rjc0Tso

watch?v=hy3_Rjc0Tso

would this help? http://yoast.com/move-wordpress-blog-domain-10-steps/

did you add a redirect?

I would disavow them with 1000 of links from a domain you don't know

Not as far as I know. Would be nice, I agree. Maybe contact Moz if they can add it as extra feature?

It's possible to export the entire ranking history to CSV, than you can create your own graph.. not the most ideal situation but could help.

As far as I remember, Moz takes them into Archive for a few months. So when you try to add the campaign again it probably takes it out Archive.

Could be enough. Maybe add the name in one of the

as well. Good change to rank I think (didn't check the competition).

Create the page on such a way that everyone would like to share it. I've seen several 1-pages that have received a high page rank in short period because it was fun (because of design or something else) to share or such a good tool to have. Everyone started to share it.

One example: this domain is having the question "Can I wear shorts?" in dutch in the domain. It has a pagerank of 3 now, without any other text:

http://www.kanikeenkortebroekaan.nl

Relax

had the same, but for a few days. I submitted the site to Google. One or two days later it was indexed. May be coincidence

Yes, I agree with Irving and Thomas. Don't focus too much on the competitor but get your own good, unique content as a base to start.