No it doesn't. That's for commercial sales only. That's why it says 'retailer'. Private sellers are not retailers.
http://www.onlineshoppingrights.co.u...gulations.html
it’s worth noting that the Regulations only apply to consumers that purchase goods or services from a business. The Regulations don’t apply to business-to-business purchases, land sales, vending machine purchases, and purchases made via auctions.