The same difference as to converse and to tell. 이야기 alone means story. 대화 means conversation.
If you've heard lie by jimin, the first line is 내게 말해, which translates to "tell me". That's how I remember this atleast
Yes! To tell or to speak TO the subject :) connecting it to music is super helpful for anyone who understands music better than language naturally♡♡♡♡
"I converse" is technically correct, but awkward. More natural forms would be "I have a conversation" or, even better, "I engage in conversation."