Each graphic window will remember its most recent selection window and, in any window where there has been no selection that option will not be available and only the whole image can be printed.
If you leave the Selection button selected in the Print dialogue box. You should get a print of the area selected.
Sometimes you don't get what you expected but, if you find that it is not printing what you asked for, you should zoom out all the way ( F12 ) and try again.
Note: If you are printing the source image the point annotations will be included.