Name server changes usually take 24 to 48 hours to start working. This phenomenon is known as propagation. Because of propagation, not all visitors will follow your new name servers to your new website; some visitors will continue to follow your old name servers to your old website.
How quickly visitors follow the new name servers depends on their physical location, internet service provider, and some luck; it is not something Neto has control over. Once propagation is over, your site will be appearing on our server and your email will be fully functional.
There is no positive way to tell when propagation has completed. During the first 48 hours, even if you see your site on the new server, your next door neighbour might see the site on the old server.