has he moved yet and renounced his citizenship?

Don't think so.

https://us.yahoo.com/entertainment/green-day-tweaks-song-lyric-181429863.html

I missed it but did he mention anything about Biden's support of the murder of children in Gaza?

The band has not been relevant since 2005. Notice how they are still bringing up Trump and he has been out of office for almost three years.

Green Day is now Pro-War and Anti-Freedom!