19 (M) Need help connecting with little sisters

I'm currently home for winter break from college, so I was drinking at my house and just bumped into her in the hallway and drunkenly started talking to her without realizing how visibly drunk I was. Definitely not a great way to catch up. I've recently been thinking about reaching out my schools mental health services program because I'm definitely kind of fucked, idk why I haven't tbh I've been dealing with my own shit for a long time now and just got used to finding my own ways of coping over the years and idk what I'm doing. What my sister was saying is she was being bullied mainly by boys at her school starting rumors about her, my mom is aware of her situation (parents divorced in 2011) and is very supportive and has been taking her to see a therapist, but as far as she knows, my sisters doing fine right now, but as of the other night, she was still talking about self harming and wanting to commit suicide. How do you respond to that? Should I tell my mom about this? would it be a violation of my sisters trust? as for my middle sister, she has her shit together more I do tbh so you're 100% right on that I realized I've been lecturing my middle sister too often instead of just talking and listening to her.

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