Georgia and the U.S. have similar definitions of murder.
BFD.
Some murders fall within Georgia state jurisdiction and others within Federal jurisdiction.
There is no "ditto" here - - If the state and federal prosecutors cannot agree, the courts will decide which murders are federal offences, which ones are not.
In the area of immigration, there is no STATE jurisdiction to investigate immigration status and then to prosecute illegalities. That belongs to the federal government exclusively.