Now the hair is more blur, while the eye still has the same sharpness. I thus concluded that the focus was correct in the first shot, but the lighting was actually giving a better impression of shaprness to the hair. The eye beeing in a shadowed zone, less contrast make some details to be lost and seems les sharp.
Padang - taking a picture of a child is not a good reference for sharpness. Most cameras focus when 1/2 pressed. Between the time of half pressed and fully pressed, the child (or you) will move and change and you will be focussed elsewhere.
I agree with Kaden - the focus is good and I would not fuss over it much unless it really is a problem.
But if you do - get a still reference point with constant lighting to test it with.
The focus sensor will look for the best contrast and is bigger than the focus brackets suggest. The hair has more contrast and chances are that the focus sensor therefore took this for the focus adjustment. It’s not backfocussing, but a difficult subject.