In terms of attachment, yes, but it depends on the curvature whether the ends of the lamp then illuminate the top edge of the monitor.  

Yes, it comes with a mount which is a plastic pipe with a pivot at the base. I'm sure you could mount the station itself on the same size pipe. The hardest thing would be getting it level. I'm not sure what diameter the pipe is but I would guess the outside diameter is around 1 in. The pipe in the picture is part of the base, and the unit sits over the end of the pipe. Hope this answers your question. 

yes, however for added stability you should add counter weight at the bottom. 

Has a 1/4 threaded connection for use with a tripod 

Each baby monitor is attached closely with a protective film to prevent scratches. You could try to buckle the four corners of the screen with your nails until it appears a gap. Then grab the gap and tear off the protective film(The specific operation is shown in the video).