Nutone Nu330-Nu330W 330 Series Automatic On Or Off Inlet& White

Can you provide the dimensions of this wall plate?

Does this work for the cover on the outside of the house? The flap on the outside cover has broken off of ours and I need a replacement. Thanks!

Does this have electrical connection for vacuum brush As well as low voltage

With this inlet does it turn the vacuum on when the cover is opened or does it have the two contacts inside of it?