Your DJs should stop the autoDJ prior to beginning a live broadcast. This is done by logging in to Centova Cast and clicking the "Deactivate source" or "Deactivate autoDJ" link. After a live broadcast, your DJs should login again and re-start the autoDJ by clicking the "Activate source" or "Activate autoDJ" link.
If you do not wish to give your DJs access to your Centova Cast account, you should use the Centova Cast API to give your DJs limited access to stop/start the autoDJ. An example script demonstrating how to do this is available here.
To open this script you will need the WinRAR program. Click here to download