My two previous posts include the changes I feel are worth considering.
In my society, beating children with canes is widely considered unacceptable. Such treatment might well form the basis of a prosecution in court for cruelty, particularly if visible weals were noted by a doctor. Your society may differ. I should, perhaps, not make judgements. However I would be failing in my duty as a guide if I did not make these things clear.
Furthermore, writing in those words about caning on the buttocks would be considered excessively explicit, in the same way that an exact, anatomical description of sexual intercourse would be. Unless the text was for inclusion in a work of perverted pornography or an account of a very cruel and strict mother.
Consider the following:
They made love that night.
He eagerly thrust his penis into her vagina that night.
The first would be acceptable in normal, non-pornographic writing, the second is much too shocking and unneccesarily voyeuristic.