Does a divorce written by the husband online, either in jest or with the intention of reviewing his wife through conjugal relations after returning from travel, take effect, knowing that the writing occurred during menstruation?

If you intended the writing as a divorce, then it has occurred. Your return to your wife is valid if it was before the end of her waiting period, provided that this divorce was not the completion of three divorces. Menstruation does not prevent the occurrence of divorce according to the majority of scholars, and this is the relied-upon opinion.