Another useful tool that comes with your UAG server is the TMG management console. Those with a good memory will rise up and yell "But you told us not to touch it!" That is true, and you should never modify the configuration of TMG on a UAG server unless specifically instructed to by official Microsoft documentation or a Microsoft representative. However, for monitoring purposes only, it is perfectly acceptable to use the TMG console.
The TMG Monitoring tab in the TMG management console is very useful for seeing the traffic coming in and going out of the server, and can often pinpoint the source of a problem. For example, if you are attempting to configure the Network Connector, and notice that connecting clients are unable to communicate with servers on the internal network, the TMG monitor might reveal that TMG is blocking traffic for some reason (perhaps an invalid routing or IP configuration somewhere). It can also show that traffic is being received from the...