For 1), although you cannot print only part of the plan, a workaround may be to export the plan to SVG format (right clicking on it) and then open the SVG file with some vectorial drawing application.

I did a test with a small room inside a big room and opened the SVG with CorelDraw. I had to draw some squares to make clipping/intersections with the drawing in order to remove the undesired parts, since it's exported as a single object, but I finally kept the interior room only.