You checked the log file at /Monox/ApplicationData/Logs and it is empty? That is strange - maybe you did not grant the write permissions on that folder to the user account your W3WP process runs under (NETWORK SERVICE or something similar). What about Windows Event Log?
In any case, Janrain/RPX web part requires that you create your account at janrain.com and than follow the instructions to properly setup the login providers to work with it. Their service checks the domain name the authentication request is coming from, and for security reasons it does NOT work out of the box from third party domain names or IPs (there is a warning text displayed in that module). You will have to configure the web part by entering your own API key (you'll be able to read it on the Janrain's site) and configure each provider (Facebook, Twitter, etc) using their admin panel.