From what I have experienced using the system so far is you can resume the show from the spot you stopped in the other room. What you have to do is click PLAY on the remote when hovering over the recording you want INSTEAD OF SELECT. This should give you a pop up that says "resume from other location" or something to that extent. It will not give you this option if you push SELECT.
In my experience this resume button works intermittently. Sometime pressing play picks up where I left off, and other times it causes the recording to start over. I'm guessing it's a software bug, that will be addressed in future updates.