EveningRose, your sister sounds a lot like one of my sisters. We are not quite 2 years apart and have never been close. She is the oldest, and I think because of that has a sense of entitlement.
I used to try real hard to make conversation with her on the phone, but I'm not going to any more. We still have minimal contact. I used to tell her about stuff going on in my life, but I'm not any more, because she doesn't tell me anything. I'm just going to be like, how are you? I'm fine, hope you are fine too, or something similar.