As always, grif091 is correct.
In regards to the second part
In addition, I'd like to be able to push "All off" on one of my ControLincs and have it turn everything off the same way. I wasn't able to add the ControLinc electronically with its ID - how should I add it? (Is adding it even the right thing to do?)
The controllinc can be used independent from the EZSrve as a controller. It does not support traditional linking mechanisms, it was one of the first products produced by Smarthome. As of today, we are not offering support for it, as the keypadlinc table top is now available, and superior in my opinion.
That said, if we get a lot of demand for controllinc support, it is something we can look into.