Leaving the Room thru the windows?
One of the things that occurred to me is when they look out the front windows Joe and Jennifer apparently see .the 'outside' of 1961. Since the room always resets I think I would have at least tried to open the window or tossed the tv out of it to see what would happen.
It would seem like an obvious thing to me that if the room was torn out of space-time then maybe it's always a moment of 1961 'outside' those windows. It seems odd that Joe wouldn't at least try to open the windows and call to his daughter to see if she was perpetually 'out' there.
Of course the thing that makes the plot compelling is what isn't 'explained' or postulated on screen. In a way the logic holes in the plot allow the viewer to fill in with their mind what is 'truly' going on.
A variation on the idea could instead of the Occupant being separate from the Room, making him a guy with amnesia who every week leaves the Room in search of who he is and how to get back to his resident space-time. As it was everything takes place in the same linear space-time, but what if you use the same story to flip back and forth through all the years from the 'present' to the time of the Event back in 1961?
The premise could still be mined with many variations for nifty sci-fi series.