This is a phone number search site called Whoeasy. I paid $1 to look up a single call and they have enrolled me in a month plan that I continuously steals $20 out of my account every month. They act like they are unroll me and refund the money they stole but they never Do! Thieves..
I also registered a new domain name with GoDaddy and started getting calls. I as well didn't pay the extra $10 a year to keep my info private from WHO IS. So don't think it's the company's fault. Though would like to know the reason for the calls?
My guess is they want to "optimize" your internet listings. In essence, a combination of "fake" black mail/extortion as they have no real internet influence.
The name of the company is Amazing 7 Studios. They probe the Whois registry for domains with public registrant info - then cold-call the people to ask if they want their design services. Consider leaving them a google review ;-)
If you bought a domain recently and they called you, look it up at http://who.is - if you see your information displayed publicly, that's how they called you. It's a terrible business strategy.