windows server 2016 The system failed to register host (A or AAAA) resource records (RRs) for network adapter

The Server Reboot in your case is not related to the issue of the DNS registration. While I cannot conclude why the server restarts in your case, you can eliminate the cause of the DNS registration failure error.

Just turn off the checkbox “Register this connection's addresses in DNS” in “Advanced TCP/IP Settings” dialog, “DNS” tab.

To open this dialog, go to the Control Panel, “Network and Sharing Center”, click “Manage network connections”, right-click on your network connection. Then, from the pop-up menu, select “Properties” item, select “Internet Protocol Version 4 (TCP/IPv4)” and click the “Properties” button.

This checkbox specifies that the computer attempt dynamic registration of the IP addresses (through DNS) of this connection with the full computer name of this computer, as specified on the “Computer Name” tab (available in System in Control Panel). The local setting is used only if the associated Group Policy is disabled or unspecified.

Please refer to the following links for further reading:

• https://support.simpledns.plus/kb/a3/system-failed-to-register-host-resource-records-rrs-network-adapter___-warning-windows-event-log.aspx

• https://technet.microsoft.com/en-us/library/cc754143.aspx