first, by the description of the action that caused him to hit this car, your brother would appear to be at fault. Your brother was turning left (first evidence he had to yield ROW) and had to avoid an oncoming car (second evidence) which was turning right (third).
Everything you posted without any further info shows your brother to be at fault for what happened. As such, he would be liable for any damages he caused.
Searching Hawaii statutes appears to be a real PITA for some reason so I cannot site anything specific several possible things typically regulated by statute that may apply to Hawaii;
was the accident required to be reported to the police? Many states treat bicycles as motor vehicles in many situations and as such, require situations such as accidents breaking a specified threshold of damage to be reported to the police.
If another vehicle obviously caused this, why were the police not notified for that as well? If supportable, this would remove your brothers liability as he was not the cause of the damages, merely another damaged person.
Now, one thing I would really like to see an explanation for is this:
Quote:
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He was forced to ride onto the sidewalk to avoid being run over by the car. He flew into the door of a parked car.
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How did he hit a car if he was forced "to ride" on to the sidewalk? It would seem once he reached the sidewalk, there would be no cars to hit.