Hi Kane,
- What type of e-commerce CMS are they on? - Custom Solution but in middle of migration to magento scheduled for launch in February.
- Are these mis-matched pages always on the same site (and not the competitive site that you mentioned)? - Yes. There is no overlap onto other domain pages, just the domain that appears to have been dinged.
- Are there any canonical tags on the site that are pointing towards the other website? - No.
- Is the content on each page unique for that domain (not including the other domains you mentioned)? - For the most part. We don't duplicate content on same domain, it is really just across domain.
Also, forgot to mention. Bing and Yahoo rank this domain favorably, and is usually on Page 1 for competitive keywords. This appears to be a Google only related issue.