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Don't need a separate computer just use a proxy service when logging in So your not using the same IP.

Face Palm - Probably want to start all over your making to much work for the search engines and they don't like it.

Yes I think this could give an algo penalty to the clients. You never know how the big G will perceive it. But better to be safe and keep everything separated.

Good find on the white board video that's got a ton of useful info.

Looks like your trying to cover a particular key term. Building a bunch of sites and trying to get them all ranked on P1 so you saturate the market. It's been done way to much. Google is very smart in detecting these things and it will effect the rankings. The fact you have them all linked in 1 login is a big Neon Billboard not a small red flag. They have already logged your email and associated everything to those domains.  These sites will now just be valid burn sites you can dump later.

The duplicate content issue you can easily solve by installing Yoast SEO plugin and noindexing the tag pages (you can also noindex categories, archives etc if you need).

Here is a great guide to stetting up the plugin properly and eliminating those page duplication errors http://moz.com/blog/setup-wordpress-for-seo-success

Hope this helps!

What CMS are you using?  Could be a problem with a plugin or code.

Are they same or similar products or subject matter?  Do you have any interlinking of the sites?

Magento is great and has a plugin perfect for this so you can add that in. http://www.magentocommerce.com/magento-connect/product-video-with-swatch.html

There are so many better ways to do this.  What framework are you using?  Woo Comm has this feature http://wordpress.org/plugins/woocommerce-video-product-tab/

Well if you think the brand exposure TSC has that catapults them to top rankings.  If you a small retailer selling Horse Stall Mats with zero brand it will be an uphill battle.  However I have found the amount of on page content plays a minimal role to the overall ranking factor.  The biggest factors would be to have great branded links that pertain to your business, Social Media Presence with high engagement, and useful evergreen content on your site for people.

It looks like you have decent rankings for that keyterm. With out going to involved it looks like a little push from links to that page and work on your social media engagement since that's really lacking.

Use Firefox and access it.  I had this same issue a few months back and it was something to do with a glitch in the system and an update to FF and IE.

Once logged in try going to this link  http://analytics.moz.com/manage-campaigns it's a work around for the time being.

And make sure to Contact support help@moz.com and relay your issues.

Yep there pulling authors with little G+ juice.

Shawn is correct. Domian tools will give you a great history plus info on the current owners other domains.

How do you know they are earning good money for those terms?

Really not a clear cut answer on this as it can take several months before you see any results from it.

The theory is:

1. When you file for reconsideration, or
2. When there’s a big data refresh, such a Penguin update.
   http://moz.com/blog/google-disavow-tool#update

Footer links should not be overused in fact limit them to only a couple. You want to design and create experiences for the user don't focus so much on google and ranking.  If it is of value to have that link for a user then it will not hurt you.  Rand has a great article on this http://moz.com/blog/footer-link-optimization-for-search-engines-user-experience

Ask yourself this.  Would you search on this directory to find your site? Probably not and no one else is using it either.  It's just a spammy link directory so you would want your links pulled from them.  Again your Disavow Tool is going to be your best friend getting you link profile under control.

Your going to have to disavow tool those links and you might want to take a big chunk of your links out and start over. Like Matt Cutts said use it like a Machete not like a Scalpel.

Yet another bit to read http://searchengineland.com/googles-matt-cutts-link-spamming-google-for-a-specific-time-period-then-mass-disavow-those-links-179445

That would be achieved with content marketing.  Better known as "Guest Blog Posting" Your gonna have a lot more reading to do.  The great part is knowledge is power when it comes to marketing.

If you have not read this yet MOZ SEO GUIDE do so as it will get you on the right path. Heck even if you have read it do it again for a nice refresher as this get updated.

Read These on Guest Blog Post
http://moz.com/blog/12-scalable-link-building-tactics http://moz.com/blog/the-ultimate-guide-to-advanced-guest-blogging

Pintrest will help to deliver your brand or product to consumers eyes and generate more traffic.  But there link worth is low until you build a large following.