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So do it surreptitiously and/or creatively. A paparazzi snapping a photo and then selling it to magazines or a widely available photo online is likely too wide spread for someone to have it easily removed. If you happen to reach out to a Celebrity Blogger and they mention "Looks like Jay-Z is out on the town looking good in what appears to be a {Insert clothing company} brand sweatshirt." Do you think they're going to stop the publicity? Even a facebook share of "Hey, is Jay-Z wearing one of our shirts?" without any link to your product page, just asking people what they think about it, could work. Now if you blatantly plastered photos with links saying "OMG Buy Our Sweatshirt Cause Jay-Z is wearing it!!!" then he'd probably have his people file something asking you to take it down.

NoFollows on links in your blog that point off the site are not hurting you.

Easy first step without even thinking... Blog post and/or outreach to well-known bloggers who specialize in star/celebrity news & gossip. Also shares of images & links to the related blog posts on every social media outlet we have an account/page on.

Promoting a post technically boosts it for an entire day now (used to be 3 days). So you'll reach your fans with a Sponsored post whenever they happen to log on in that 24 hour period and look at their Newsfeed. Same goes for if you're using the targeting feature to reach the friends of fans or if you're using one of the other targeting features likes location, age, gender, etc.

If you want a better idea of what time your fans are online, the updated Facebook Insights for a page now shows a graph of what times of day your page's fans tend to be online. If you have the new Page Insights, click into insights then go to Posts and there will be a section called "When Your Fans Are Online".

Yes but if the article was good enough that big names like Google or NYT wanted it... wouldn't it be pulling in the traffic from all the shares of it? And do you really want those sites outranking you for your own content? And wouldn't they likely NoFollow the link back to you anyway because of Google's current best practices concerning those sorts of links?

Have you received an Unnatural Links warning or have you noticed pages losing steam after receiving links from these places? If not, I'd say don't have them removed because you may inadvertently hurt yourself. Just make sure that any links you work to create yourself are natural & relevant.

As for Guest Posting: "if you go to the time and effort of producing great content why would you want it to be on someone else’s site when it could be on yours." [See this thread: http://moz.com/community/q/in-2013-is-guest-blogging-a-worthwhile-activity]

After I posted the response I saw you had removed your question. Good luck with improving the page.

General advice:
Do you have profiles on Social Media that you can share these pages to in a reasonable, relevant, authoritative and non-spammy way?

How are other corresponding metrics for the page looking? e.g. Can you work on improving bounce rate, time on page, etc.

Where are visitors going to after they are done with the page? e.g. Are you keeping them on your site? Where are they going on your site after the page? Are they leaving after they read? Are you offering enough opportunities for people to stick around?

Now.. Specific to your page I would look at the H tags. They aren't going to vastly improve your site but as far as I can see that page has two H1 tags. You should only have one H1 and can easily expand to include other H tags on that page.

It also looks like you could use more relevant, natural incoming links from a more diverse set of domains.

Instead of immediately assuming Penguin there are things like Relevancy, localization, personalization, link authority, language tags, and so on that have affected results for some time. It could just be that the content, while in English and just as readily available to US users, has better bounce rate, better traffic, more authoritative links and so forth for Canadians and Australian search results. It could be that sites which are highly targeted toward US users have better/more relevant content that is pushing your sites down in the US but don't have the same reach in Canada & Australia. It could be that the terms you're losing traction on in the US serps are more volatile or have a different breadth of competition than in Canada or Australia.

You have all of three H tags on that page... I wouldn't worry about dilution. Personally though I would alter the H2 slightly instead of duplicating the H1 but I highly doubt you'd hurt yourself if you didn't change it.

If its essentially a duplicate, thin content Login Screen... NoIndex, No Follow the page.

I hope Bing steps up their game and offers everyone a free analytics suite more on par with GA in response to the loss of keywords. I've never been enamored with Bing but they have been looking for a means to steal away people from Google. They can even market it as Microsoft saving the little guy/small business while Google hoards information.

4. Custom 404 page?

A similar question was asked last month that might give you some insight as well. http://moz.com/community/q/should-i-use-my-competitor-s-name-in-my-content-to-help-my-rankings

My favorite error of them all. Had one of our coders hide one on our main site for anyone enterprising enough to search it out and get to it. Not a likely thing to happen but I consider it hilarious.

It may not be in Moz Analytics yet but it will be. When I first switched, only 4 of my 5 campaigns appeared. So i kept having to switch back to Pro to access the fifth one. Eventually it too got updated in Moz Analytics.

Have you double-checked your rankings either through another tool or through unpersonalized searches to see if the Moz data is correct? I have a few search terms on two of my campaigns that regularly swing from 1st one week to "Not in top 50" the next according to Moz when in reality they barely shift ever.

Google makes 500+ changes a year which means a minimum 1.4 changes every day. And the SERPs shuffle practically every day to reflect the changes individual sites & pages have made and the changes & new pages/sites crawled & indexed by the spiders. Then there are the big algorithm changes that happen throughout the year at unknown intervals and page rank updates every few months.

So don't wait for an update because they're happening all the time. Keep working at it, tweaking things, building your profile, building your presence, creating new content, sharing that content, interacting with your customers/fans/patrons/users, and so on.

She essentially said that canonicals for moving a site was one of the intended uses. In her talk she gave the example of having an Exercise Blog and taking over Matt Cutts' Exercise blog... and how in that instance canonicals are a good way to notify the search engines that you would like your main site to start ranking for the instances where the secondary site would come up. (Plus the bits about good for the user experience) Then you would canonical all relevant pages as necessary, move any content that you would like to appear on the main site, and throw up a message on the secondary site with a link stating you're moving to the new URL. Then after a while you would 301 everything over.

I have actually given that advice to people regularly and (so far) no one has come back screaming at me that I ruined their site.

I have done these and I agree completely.

Also, the bit about Canonicals to move a site and then 301 later was actually talked about at SMX by Maile Ohye of Google as a legitimate and good use for situations such as buying or taking over someone else's site as a means to pass link equity while also giving users a better experience by letting them know you are transitioning... giving them time to change their bookmarks instead of potentially causing them to bounce by sending them somewhere they didn't intend to go.

(though don't quote me on her saying anything about "link juice" or "link equity" specifically... it was about a year ago and its been ages since I've listened to my personal recordings of the session [and actually, i'm not sure I was even actually allowed to record while Google and Bing reps were speaking... but oh well])