bhartzer - 6:50 pm on May 24, 2011 (gmt 0)
If so, simply move the site to its new home as it is now, url for url, and you should retain all backlinks etc.
You can do that, sure. The problem is that 301 redirects don't pass the same amount of "link juice" that they used to.
I would do everything in your power to keep the old URLs and not 301 redirect anything.
they no longer want retailers to use parts of their company name in their domain name.
Unfortunately that's going to be an issue. I would not have recommended that you use anyone's name as part of your domain name. A generic domain, or your own company name, is always a better bet.
Best bet at this point is to see if you can create a "landing page" of sorts on the old domain that points users to the new site--with some deep links to pages on the new domain.