You can check its functionality by opening http://<ServerName>/exchange in a Web browser. (Also try the secure connection by replacing HTTP with HTTPS in the URL.)
If you want to access OWA from the Internet, you need to use an IP address or a fully qualified domain name (FQDN), such as mail.yourdomain.com, instead of the NetBIOS server name in the URL. And if you have a firewall (which we hope you do), make sure to open inbound ports 80 (HTTP) or 443 (SSL) with proper translation to the internal address of your Exchange server.
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