On the machine that Google Chrome is running on, install your private CA certificate into the OS keystore.
Then, install a server certificate (signed by that CA) into the FairCom server that Google Chrome is talking to by following these steps. The "target" of these steps is the "https8443" block of the "listeners" array in "services.json".
Use the Google Chrome browser for FairCom browser-based tools. Other browsers may cause unexpected behavior.