Hi dream26,
Welcome to the group
First of all, my condolences for the loss of your father, my own father died of a massive heart attack and I know what a devastating shock that is.
I come at BPD from a different angle my Partner has an undiagnosed BPD ex wife. I discovered BPD by Googling "Chronic Lying" and like you with your sister I found the shoe fit.
Everyone here has someone in their lives with BPD or BPD Traits, I was amazed at how similar our stories are when I first arrived here. There is a lot of collective wisdom here, along with information and tools...I hope you will take some time and take a look around.
I know it's hard to watch your sister be abusive towards your mom and her daughter. Do you think it could be your mom lets your sister stay in order to try and protect her grand daughter? Is your niece's father in the picture at all?
It sounds like your mom/parents have been doing this dance with your sister for a long time. Has your mom tried setting any boundaries? Has she had any success with them or are things "going along to get along" or path of least resistance? Is there any one behavior your sister does that you would like to focus on?
Again Welcome,
Panda39