1. Try using the "ping" or "host" command directly from your personal machine to see if the domain name resolves to the correct IP address. You can also use a website such as IntoDNS to see if there are any name server issues.
2. The functionality of the "Nameserver IPs" page is for visual purposes only. It is a report, and not a page meant to configure any aspect of DNS. It reports the nameservers used by DNS zones on the server, as well as a count of the the number of zones that use a given nameserver. The important entries on the cPanel server are the "A" records that you have added for your name servers. Thus, as long as you have registered these name servers to the matching IP addresses at the domain registrar, then no further DNS configuration is required. The "Nameserver IPs" page can include cached data, so you can safely ignore any mentions of "No IP" or a different IP on that page as it may take some time before it updates.
Note: cPanel version 11.42 introduces the "NS Record Report" option in place of the "Nameserver IP's" option.
Thank you.