You can be my sister as well. I miss mine as she passed December 16, 1986.
I agree with what Monkey and Alffe said. Your sister may just be used to you calling her. My best friend actually reminds me just a little of you. If I don't call her, she gets upset. I'm used to it being me the one who has to make the phone call gesture, but that's okay. We've been best friends for 42 years so whaddaya gonna do.
And I love the idea of inviting your family over.
I'm sorry you're so down. I still think a good therapist could do you a world of good to help you gain back your bruised self-esteem.