Boyfriend can't let go of the past

Eni
So I'm in a relationship with my boyfriend and we've been together for 9 months and we live together.He is lovely caring and a good person. One day I noticed that he had photos of his ex girlfriend in his PC ,all their moments together. I asked him why he doesn't delete them and he said it was his past and doesn't want to delete anything even the photos with her on Facebook including her as a facebook friend. Since we got in a relationship he has spoken to her 2 times and both long conversations. This bothers me a lot. At the last conversation she wanted to know all details about me, when I asked him if this was normal because when someone is no longer with you they don't really care about your new girlfriend. He had told her everything about me, also problems that we have had and even things that don't have anything to do with our relationship such as my job, my salary and my finances. One morning he called me in her name. She is in a relationship with someone and lives in a different country. I don't know what to do because I feel so uncomfortable with this situation. One week ago we were talking about her and he said to me :"OK if you will continue to act like this even though I don't want to  I'll stop talking to her ".I said :" No if you don't want to don't stop talking to her, just don't mix your future with your past .I don't want him to do it just because I said so but I want him to understand himself that this is wrong. Girls please i need your help .Am I too jealous or his reaction for this situation is not normal ?There are some more details that I didn't write here but I think i made my post long enough. Am I overreacting about this whole thing? 
Thank you in advance for your thoughts and advices.!