Your family are assholes

Sounds like OP did get something good from them on her birthday - the reason to go No Contact with all of them.

If you want kids, all you have to do is sign up through foster care or adoption. Your family are assholes for not realizing that, or even asking if you WANT kids--PCOS doesn't determine if you have children or not, because there's plenty of kids out there who'd love you for a parent, no birth required. You are absolutely not required to have kids, but if you want them, you have options.

Some people need a punch in the face.