Light Yagami has been arrested. Can he be convicted on crimes other than having murdered people with the Death Note?

I asked this before, but didn't explain myself properly. So here it goes again.

During his final confrontation with Near, Light Yagami is arrested without complications; can he be convicted on crimes other than having murdered people with the Death Note?

Off the top of my head, there's stuff like "obstruction of justice" when he lead the task force and had them running around circles for years. But what else?

Round 1: The trial takes place in Japan.

Round 2: He is extradited to the USA, and the trial takes place there.

Round 3: He is tried in the International Court of Justice in The Hague.