Does the statement "Pack your belongings to go to your family" or taking the wife to her family's house while taking the house keys, then reconciling on the same day, count as a divorce, especially with the husband's ignorance of his intention at those moments?

The phrases mentioned are كنايات (allusions/indirect expressions), and divorce does not occur by them unless there is an intention. If you doubt the intention, then divorce does not occur, because certainty is not removed by doubt. Our advice to you is to beware of obsessive doubts concerning matters of divorce and other things.