The K1000 appliance Web Server Name can be set on the Settings \ Control Panel\Network settings area. if you have a K1200 appliance, then this is in the "SYSTEM" organization.
Your webserver name should have the same domain name suffix as specified in your "Domain".
If it is not then you might end up with name resolutions like k1000.company.com.internal.company.com
If you have an internal DNS name that is different from your web server name then you should change your internal DNS to allow both names.