Backup via internet

I know that My Cloud will transfer files via the internet.  Can I assume that it has the capability to automatically back up my PC via the internet?  I guess it will operate similar to Carbonite- only to the WD HD in my house - not a centralized service.

No, you cant do a remote backup unless you have a third party software that does this.  You can however set the safepoint to an auto update schedule.