I need some advice

J👩
I have a step sister and two half siblings on my Dads side. My step sister recently had a baby (she was a premie) back in July. She kind of started acting really weird, I would call her and she wouldn't take my calls, I would text and would never get a response. I mentioned it to my Dad and he just told me like "She has a baby J, and shes got her hands full, the baby doesn't give her time to sleep." So I didn't think nothing of it, I hung out with like last month while my niece had her 6 months photo. Afterwards her boyfriend asked if I could babysit while they went to the movies (he'd rather me over anyone else ) I watched her and never heard from her after. On Super Bowl she walked into my Grandparents house and didn't speak to me. I started asking myself like "Did i fuck her man or something? Did I steal something from her like what is her problem?" I started to feel some way about it. I'm not gonna lie I was pretty hurt. Her BF even made conversation with me about my new job offer. I called my mom (which is not her mom) and vented, and then I was okay bc I realized she'll need me before I need her. 
So fast forward, I bought my sister, her two daughters (ages 7 months, and 7 years old), and my nephew shirts from Old Navy. I got most of their things from the sales rack...it came out to $18.97. I bought the shirt to my Dads house to give my younger sisters her shirt and she happened to be there. So after we split the clothes I gave her the bags with all her girls stuff in it and that was it. 
So this week the kids are out on spring break and I had planned 2/13 to take my younger sister on a date because she doesn't get out much. She has food allergies, asthma, panic attacks and sometimes seizures. She called me yesterday asking me what we were doing tomorrow bc my step sister wanted her to go with her to the DMV and then to the nail salon. My sister told her " I already have my nails done and I'm supposed to be going somewhere with J tomorrow" (she didn't know where bc it was a surprise) and my step sister told her "oh you suck, you're going to go with someone who spent 27 cents on a shirt for you?"
She then started telling my sister (who is 12 btw) "& she got my daughter shirts that too small she got her a 4/5 she hasn't been a 4/5 in three years." I am 23 and I have no kids so I was just going by like "this looks like it could fit her" (bc I wasn't reaching out to her)
I really want to check her without getting my sister involved. What should I say?