No. 'Flew' is intransitive in your sentence. In 'Jim flew his plane to Ireland', 'flew' is transitive. 'To Ireland' is a prepositiional phrase functioning as an adverb, like 'last year'.
No, in this particular sentence "flew" isn't transitive. Remember that in order for a verb to be transitive, it must also have an object. That actually brings me to your next question. In this sentence, "to Ireland" is actually a prepositional phrase. It might help to leave out the prepositional phrases at first man because something in a prepositional phrase can never be an object of the verb. S