Hello,
I think that reiki can only help. It can do no harm. Now coming from a mothers point of view. What I did when my oldest son was like that was, do everything you can to keep him awake during the day. If you see him getting sleepy or know that he is cranky because he is tired and there isnt anything wrong with him, then play with him try distracting him. It was a hellish couple of days but it only took two days to switch him. And from the sounds of it you already have had a few hellish days so what is 2 or 3 more?
I hope that helps!!!!!!!!!!
Love and light, harmony