The warranty is upheld by the Manufacturer (Pergo in your case), unless otherwise noted. If your Retailer or Installer are not able to help you, that's a Customer Service issue with them; not a warranty issue. BUT, jumping way ahead, there isn't anything that prevents you from mentioning all 3 'parties' in your law suit.
You need to start out by getting a copy of the DETAILED Warranty that comes with your flooring. The warranty that you 'feel' you bought, Pergo Limited Warranty, doesn't say enough. You need the ENTIRE warranty. This you can get from your Retailer or from a 'box' that the flooring comes in at your local Retailer or Home Center. After reading it, you need to see if your 'situation' fits any of the disclaimers. If not, send a letter along with a copy of the warranty to the mfgr. and see what happens. You can approach the problem by simply writing a letter to the mfgr. (or have a friend do so), and ask if their Warranty covers normal wear-and-tear from chair wheels in a dinette suite. If it DOES, then you have your answer. If it doesn't then you have your answer also.
Maybe it is best to have someone do this for you annonymously. Type the letter up for them and have them sign their name and mail it in. Other than that, the warranty IS only as good as the company that stands behind it. This process will take some time.