It is mentioned more than once that the detectives need to have or do have bloodhounds following Henry's scent, but when a dog is actually shown they are using a German shepherd.
The family court judge says that since hearings began jeopardy has been attached to the case so if she dismisses the charges double jeopardy will prevent Jake O'Hara from being retried for the murder of Henry Morton as an adult in a criminal trial in the Supreme Court. However jeopardy does not attach in a bench trial (a trial where the evidence is heard and the verdict is rendered by a judge instead of a jury) when the court begins to hear evidence after the first witness is sworn in. As the defense and prosecution had just finished making their opening statements and the judge had not yet heard any witness testimony or evidence jeopardy had not yet attached to the case therefore the judge could've dropped the family court charges, without prejudice, allowing Jake to be retried in criminal court as an adult for Henry's murder.
When Dr. Morton is asking M.E. Warner questions about how Billy was killed, Olivia's stand-in can be seen over his shoulder in one shot instead of Olivia.
Because the defendant admitted to being guilty of killing someone, but was asserting a claim of extreme emotional disturbance the jury would not be asked to render a verdict on just the charge of murder in the second degree, they would also have to be allowed to render a verdict on the charge of manslaughter in the first degree in the event they find the defendant not guilty of murder.