Should I contact the person and ask them to change the're site name?
I'd confront them about it, aye. Rippin' off one's work, especially if it's copyrighted, isn't cool and rather low-down. Perhaps once they know they're dealin' with the original owner, they may change their site's name and all. Worth a try, eh? I'd also inform them that ye' own copyright of the name and description and, if ye' can, show em' proof of that so they won't have a chance to start a quarrel.
Going from what Vespian has said, confront the person, and yes try asking them to change the name. And as Vespian has said, include proof you own the original business/website and name. If this does not work, also present the proof of when you made the site, and the proof of registration. This may assist you.
- Druid