The hearth and the Salamander can also mean happiness and if Montag chose to be happy or not. The two things in his life his home and his work. Did it really make him happy. He chose happiness over this home and his work by reading the books.
Die with memories not dreams . I hope it means to you you need to make a life time of memories with me and not dwell and pass on are dreams? We need to make are dreams into memories. You are all I dream of!