On three occasions in 20 years I have been unable to work due lack of sleep. On the first two I called in sick but it didn't sit comfortably with me because I knew it wasn't the truth.
On the third, being still awake at 03:00 having to be up at 05:30 for a D1, I got up and called the night watch manager (my own) and explained things to him. He said he would leave a note for the morning watch to say that I would not be available for work before 10:00. If they found themselves short of staff they should call me at home at a reasonable hour and request my attendance.
I thought that a most reasonable attitude, understanding of life's difficulties and one I would never take advantage of. I got a bit of good natured stick for it but I would do it again if it were necessary.
Point 4