is my room small for a pair of B&W 802's

Of what material is your room build? I think, not really sure about it, that wooden walls will give less problems then brick or concrete in small rooms.
I have a small room and my walls are made of very hard concrete and some lower frequencies tend to bounce all around my room.

My room is 13 by 23feet. I will be moving soon and in my new house the room will be even smaller and like now all the walls and floors and ceiling will be made of brick concrete. I think I will need some dampening in that room if the GAF allows it.

The room you mention is a tight squeeze for the 802D. If the room is treated properly you should be able to squeeze them in. They need power and lots of it to control the bass which is quite overwhelming to begin with. Personally I was very happy with Ayre amps with my old 803D but I know people using B&W 802D that are very happy with McIntosh and Krell.

However, given that you're moving to an even smaller room I would recommend you look elsewhere for speakers that are more comfortable in smaller enclosures. Of course, you'll have to treat that room as well.

The room is wood framed with sheet rock the ceiling is 9 1/2 feet tall