I'm going NC with my sister. Am I wrong?

AITAH for going NC with my sister after the drama she made?

I (f26) have a bit difficult relationship with my sisters (f37) and (f35). It is because of the age gap and different values, lifestyles, etc. My eldest sister and I have distant but respectful relationship, we are not that close and see each other once in a month or so. But my middle sister is a different story.

We used to be close. But she lives in another country (3 hours by car, going there by plane is not an option). She has one child (m8). She always accused our mom for treating me better than her, for loving my other sister's kids more than her son, etc, which isn't true at all. It's just the fact that we don't see her that often.Two years ago I got married. Then we lost our dad. Then I had a baby, she turned 1 last month. Husband and I had a civil wedding, but we were planning a church ceremony, our baby's baptism and first birthday and celebrate it together. When I sent an invitation to my middle sister, she declined. I said ok, I didn't get mad, but I wanted to know why. She said it's because we didn't visit her since we got married. It is true, but I was pregnant when we got married and had terrible sicknesses through my whole pregnancy and wasn't able to travel that long distance. Then I had a baby and it took me a long time to recover, and even then, we didn't want to travel with the baby because she gets fussy after only 30mins in a car; after an hour, she would scream her lungs out, and we couldn't calm her for hours. Even it wasn't the thing, we didn't want her to spend 6 hours in a car for only one day. It's not like we don't plan to visit at all; we are just not ready now. I tried to explain that to her, but she didn't want to speak to me anymore. I was like ok, as you wish. Also, she only visited me once when I had a baby, but she visited our mom in the same town a lot and that's where we see each other. She was also pissed at our mom for not visiting her more often, despite knowing that she is in a difficult financial situation since dad's passing.

Well, yesterday was the last straw. It was my birthday and I spent it at home, with my husband, baby, mom and in laws. My eldest sister sent me a message, wishing me a happy birthday. But the middle sister... Nothing. Her husband also didn't send me a message. I was really hurt and cried last night because of that. We didn't have any contact for a month, but not wishing me a happy birthday was really fucked up. I even send birthday messages to my friends I don't have contact with anymore.

This morning I decided to cut her off. I won't even visit our mom when she comes to see her. My husband said it's a bit extreme, although he understands my reasons. Am I really wrong for this?