Can you be incarcerated when your on active duty deployed to Iraq while home on leave?

If you break the law? Yes. If you commit a crime in the civilian world, like stealing jewelry at the mall or getting drunk in a bar and getting into a fight, you will go to a civilian jail. You will ALSO get in trouble in the military. If you commit a crime on a military post against military people - beating up another soldier or stealing another soldier's wallet - you will go to a military jail and get in military trouble.