Unfortunately, quality back links aren't going to come from a list.  The best kind are naturally earned with great content, but you can supplement this process with a great guest blogging process.  To do this you will want to find blogs in your niche, which would be anything about advertising really, and build a relationship with them so that they will accept your guest blog posts.  There's awesome resources out there for best initial emails to start this process, but I don't have any saved off hand.

The ideal option is actually getting links naturally.  To do this you will want to great engaging content that gets people to link to you.  This may be a list of the best 50 logos ever, or 10 reasons why you need a virtual assistant.  Anything that will get people to read it, comment, and then blog about it.

I work with around 50 companies, and that's typically what I see.  My #1 listing will just get changed to a Places listing, but it will still be in the #1 position.

I agree with Tom on this point.  I'd create a short snippet, and just link back to the original article.  That way the traffic still flows through you, in case you have Ads on your site.

The only exemption to this for me would be if the content would be so amazing for my community of followers.  In that case I might accept the content, and just no-indexing it.  That way people in your RSS feeds can get it, and not have to jump over to another site, but you won't run into issues with Google.

The main intent with the footer link is to try acquire additional clients, so just having it in a blog post can potentially cost you business.  However, you do have to worry about over-optimizing yourself due to all the links with exact match anchor text.  There was actually a different blog post about this recently:

http://searchenginewatch.com/article/2239260/Using-Footer-Links-to-Diversify-Your-Backlink-Profile

In the article it suggested creating a page on your website specifically about this project.  This ensures that you link to a relevant page, in Google's eyes, as well as a relevant page for anyone that is interested in your services.  The blog also suggests no-following all of the links minus the one on the home page.  That way you still get a decent amount of link juice, but don't have to worry about a site-wide link.

EGOL is absolutely correct.

SEMRush.com has a tool for that.  It will only show the terms that you rank in the top 20 for, but it is a good starting point. From there you can supplement the rest of the keywords with Webmaster Tools.

"If I suggest that they make an H2 tag with SEO..."

H1's carry a little more weight than H2's, so I'd suggest using an H1 if you can.  Ian implied that, but he didn't outright say it

Also, the page you have listed has capital letters in it, which isn't ideal, but it's still fine.  However, the lower case version does 404.  So, any links that are sent to the lower case version will not result in you getting link juice to the page.  I'd suggest using a 301 redirect from the lower case version to the upper case one that you have listed.

lower case version:

http://lightsigns.com/uniko_manufacturing_limited.html

It's tough to answer your question simply because I don't know your sites overall strategy.  What keywords are you targeting, and how are you targeting them currently type information.  This isn't something I'd ask you to do in a public setting like this forum

My personal suggestion would be to find a SEO Mentor.  Someone you can ask questions of to learn yourself, but not directly hire.  With the potential partnerships your site offers it would be reasonable for someone to take you under their wing in hopes of generating clients through you.

Facebook ads could be a good place to start.  You can target people that have an interest in different languages.  Drive traffic to the Mandarin site by targeting people who have expressed an interest in Chinese Language.  Continue with the rest of them.  You will want to experiment with different landing page and advertisement combos.  Find out what level of competency those ads are delivering, and create a message that meets that skill level.  Maybe something like "I used this one trick to learn Mandarin in X amount of time."  Create a video explaining how it works, and why it will help them.Expert = Refresher

Beginner = Learn

As for SEO, which also has great potential, you have some problems to tackle first.

1. All of your sites are use the same template, are hosted on the same account and show registrant.  This makes it obvious that you are creating your own link network, which is sketchy regardless of hiding this or not.  You then link to your other pages with keyword rich text.  These are two big signs of link manipulation, so you will probably get held back.

I would suggest moving everything to one site, 301 redirecting all the other websites to their new pages on the single domain, and building content out on that one domain.  Just 1-4 blog posts a week, nothing extreme.

2. Single page sites have been able to hide from penalties in the past because there isn't enough there to tell if you are spamming.  Well, things are changing, and Google is getting better at finding this.  Bigger sites with substantial content typically perform better.  Great content can help you beat out a decent amount of links.  One of my leads sites has 5 blog comments for links, but beats out sites with 100 linking domains just because I wrote better content than my competitors.

If your website is still hindered after this you will want to use a program to find your toxic links, and disavow them.

A) Is it Women's Widgets used naturally in the posts?  If you are going to use the phrase you might as well link with it.  While you don't want every link on the site to have the same exact anchor text, the threshold for onsite is very, very high.  It's when you get to offsite links where things get messy quickly.

B) I would not link with the long tail.  This would be like claiming that you are the best golfer in the room, but then telling everyone that this other person is the best golfer in the roof.  Doing it once probably wouldn't be a big deal, but I always aim to keep on the safe side of things.

C) I wouldn't use your company name as the link, but you could use words in close proximity.  This could help keep things well rounded.

Another thing to consider is the overall frequency.  If you have 5 pages using the exact match link, assuming it can be used naturally, then it isn't a big deal.  If you have 20+, then I would definitely consider keeping things well rounded with proximity links.