Character mistake: The fetus' blood type was AB and the mother had a known type of A. So Dr. Huang said the Father had to be type B which is not completely true. The father could also be type AB as long as he had a single chromosomal copy of the B allele, which any doctor would know. During meiosis only half your genetic DNA is passed on to the offspring.
Character mistake: When Munch and Finn visit victim's apartment, Munch states that the glass in the broken window is tempered, The glass is not tempered but more likely laminated wire glass; due to he fact that the glass is still intact and the child had to use wire cutters to get out.