Did all the divorces mentioned in the question occur or not, and is there a way for the wife to return to the husband for the sake of the children, especially since the wife does not remember her state of purity at the time of the last divorce?

Divorce takes effect via phone and internet if he utters it or writes it down with the intention of divorce. The occurrence of divorce by explicit utterance is not prevented by the husband's intention to reconcile or threaten. However, if the husband lied when informing the wife's sister of the divorce, the preponderant opinion is that the divorce takes effect religiously, but not judicially. Divorce takes effect even if the woman is menstruating.