I don't think anyone has the time or interest these days to just call/communicate with people, friends or family especially, "just because". Everyone is busy with their own lives and why would someone call me unless they wanted to call me for some reason? That's why people talk to each other, they have a reason!

It sounds like you might be spending too much time worrying about the other person and what they are doing in relation to you rather than what you are doing. If one feels good about themselves, they naturally just assume other people are thinking of us as we think of other people, we know the people who love us do, without their constantly telling us they do. Love doesn't keep score.

It sounds like you love your sister and parents but do not like them. That's okay! You did not pick your family so they do not have to be friends! Relate to your family on your terms, do not expect anything from them. I don't know why you let yourself be at your sister's beck and call, you should only be at your own beck and call. But deciding to put a lot of effort into helping your sister, for whatever reason, is/was your decision and a "gift" and does not get an automatic payback! You cannot make your family care about your daughter and respond in certain ways toward her! You can only control your own behavior.

I would decide if you want an easier relationship with your sister, if you "care" in the sense of being truly sorry for telling anyone else besides your sister about how you felt about her (it is no one else's problem/business; it should have just been between you and your sister and you should have told her how you felt if you had a problem with her behavior) and if you want to try to mend how the two of you relate to one another.

That she feels you only call when you want something is her opinion and is just as valid for her as your opinion of her is for you! You don't get a vote as to her opinion and feeling hurt because of her opinion means you lack some self esteem. If your feeling is that her opinion is not correct, it should trump any chance of hurt feelings because her opinion doesn't feel "true" once you examine your behavior from her point of view (since it's her opinion). Even if you can see the truth of her opinion for her (and your expecting something in return for your beck-and-call says there may be truth in her point of view) that should be "information" for you so you can work on your own issues rather than worry about hers and trying to change her.