Welcome to the Q&A Forum
Browse the forum for helpful insights and fresh discussions about all things SEO.
Start here:
http://moz.com/beginners-guide-to-seo
http://moz.com/blog/how-to-rank
These will give you tons of help in how to start ranking keywords.
Once you understand and implement this research/ideas/concepts.
THEN, keep track of what is working and do more of that.
Did they change a title of a single web page?
Or
Did they dedicate a whole website to the title of a product?
Some niche markets are very narrow and you WILL have matching phrases and titles and even products, if you run into that you just have to stay ahead of the curve and keep your site above theirs.
Also if you are selling a product, service, then make sure your website is dedicated to getting a better conversion for your clients.
People copy for lots of reasons:
1. They have the same idea and geographical region, or the same name.
2. They want to get an edge on a competitor.
3. They want to get hits on the keywords maybe for a different reason,
(http://moz.com/blog/barnacle-seo-whiteboard-friday)
If you're dedicated to your niche market, then keep the name and keep your site/media/web presence above theirs.
Videos are pretty new to Facebook.
We also know that Facebook does NOT show everything to all people, even if you engage and follow a page.
There is some sort of algo that hides posts and only shows to certain fans.
I would say that Facebook is deliberately throttling back on the videos more than regular posts.
This is an answer about Tumblr posts not showing up, and the answer might apply to Youtube as well.
Facebook wants to keep the "facebook content" and is hiding linked content.
I agree do 301 to each page and get people to the new site.
Overtime they will learn the new site domain and you will gain new links to the new site.
I just did the same thing and merged an older well ranking site into a new site a year ago, & did a bunch of 301 redirects from good high ranked pages and then I also did full global 301 from several smaller sites to the new site.
Still dealing with the weird traffic drop on my website.
I have removed a bunch of old links from a defunct blog, 301 thin pages, added text to remaining pages.
I'm still stumped.
So awhile ago I freshened up my website and thought I was "helping people" by making sure they could CONTACT the studio more easily... I added more links to the "contact page" I thought this would help conversions...This changed the number of links to my entire site....Would this be the problem with my ranking/traffic drop?
Google says maybe...
Once you use the rich snippets test link given to you by Bradly below:
Then you know it is "working"
Google states that there is no guarantee, I have seen on my websites the photo show up sometimes and not other times.
http://support.google.com/webmasters/bin/answer.py?hl=en&answer=1408986
Take a look at this:
It goes over text VS images on google
Fascinating theory, but this has been a slow steady decline since March.
Not an instant drop.
Here is an awesome graph of Jan to now.
http://www.bayareaboudoir.com/capture2.jpg
I erased all my stats Jan 1st from previous years.
But they had been slowly climbing.
Geek away....
If this was a simple problem with one simple answer I would have fixed it 4 months ago 
I've had lots of suggestions and lots of bits of help.
I'm always glad for more, if your suggestion does not work, someone will pipe in and we all learn from it.
Here is another thread that has more data too to help you out.
http://moz.com/community/q/web-traffic-tanked-not-penguin-nor-panda-i-am-stumped
What do you see?
Update:
I just went through and fixed the last of the 404 errors with 301.
I also changed the internal linking structure to have more links going to the home page and not to the contact page.
I hope this helps.
I'd love some more input on this issue.
