Do the words and actions mentioned in the question—such as saying "I don't want you" with the intention of expressing anger, or answering "yes" to the description "single" with the intention of expressing loneliness, or saying "What is this carelessness and degradation?" when advising one's wife—cause divorce, and does the hadith "There are three matters, serious when serious and serious when in jest" apply to these cases?

We ask Allah to cure you of waswas (obsessive whispering). Its cure is what the scholars have affirmed. What you have mentioned—that is, the matters you have raised—do not constitute a divorce. Either they do not lend themselves to divorce in the first place, such as answering "yes" to the question "Are you single?", or they might lend themselves to it, but without an intention of divorce. A condition for divorce by kinayah (allusion) is the presence of intention. The person afflicted with waswas has a special ruling in these matters.