If they wait much longer to sue, they'll have to go after his estate!

I never expected another bite at the proverbial apple. After the Kealoha mess, and Hawaii not getting convictions twice before, anything more would be viewed as malicious prosecution. Not to mention the mere fact of raising the case again just makes the Hawaii Prosecutor's office look worse.
The courts already decided that Deedy had jeopardy attached to all his charges, because the lesser charge was tied to the higher one. The rules say you can't keep pulling someone into court for the SAME CRIME using different charges. That would create a perpetual process, where prosecutors could keep lowering the charges for a single act until one sticks.
I've seen where someone acquitted of attempted murder was then charged for murder after the victim died even though the attempted murder trial ended in acquittal. That's because the crimes were different and not lesser charges of one another. The defendant was not charged in the first trial with murder, so that's fair game. Different crimes/outcomes = different trials.
In Deedy's case, he WAS charged with the lesser crime. Just because the lesser charge ended in a hung jury makes no difference. He's been tried, and there was no conviction on the main charges. Double jeopardy should have halted any further attempts to send him to prison.
I'm very glad the Prosecutor finally got a clue. Maybe the Rittenhouse case woke someone up over here. Self defense is a viable claim even when the aggressor is unarmed.