When you choose Automatic as the activation method in the License › Re-activate screen, the BIG-IP device itself contacts F5’s license activation service over the Internet.

For successful automatic activation:

The BIG-IP must have outbound network connectivity (typically via the management interface).

DNS resolution and routing must allow it to reach the F5 license activation host (the one shown in option D).

The device sends its dossier and registration key to that service and receives an updated license file in return, which is then installed automatically.

The other hostnames in the options are not used by BIG-IP for license activation, so they cannot be correct in the context of Automatic Activation .