Interworx is new? + What am I missing from Cpanel?

All hosts are different. But in general if they installed InterWorx for you then they support the control panel itself and the system apps (mail, DNS, web server, etc.) installed with it. If, however you installed it yourself then you (or whomever you bought the InterWorx license from) would be responsible.

Is this a “Managed” host or an “Unmanaged” one?