I think that this is osteogenesis imperfecta based on the hx of several fractures that occurred during birth.

From FA2019, pg. 51: Manifestations can include--multiple fractures with bone deformities and minimal trauma; may occur during the birth process

OI is caused by gene defects in COL1A1 and COL1A2; most common form is autosomal dominant with decreased production of normal type 1 collagen.

I believe that patient has achondroplasia because the short limbs and macrocephaly are a sign of failed endochondral ossification where cartilage is laid down by chondrocytes before it is converted into woven bone. Since cartilage is made out of collagen, that's the answer.