Jessie Brown Jr., 31, faces 17 counts including murder and aggravated assault.
Prosecutors said that in January, Brown went to a Maryland Drive home and shot and killed Keyon Branch, 24, and her grandmother Brenda Forrester, 67.
Three other men were also shot, including Qua'Shawn Branch, 19.
Branch was shot four times, leaving him paralyzed.
Brown has new lawyers, who were granted 60 days to review the case and its details.
Dougherty County District Attorney Greg Edwards said that his lawyers have to meet special requirements to represent a death penalty case.
"You have to meet certain minimal requirements to represent someone that is being prosecuted in this manner and the capitol defenders are the ones that have been assigned to represent Mr. Brown in this manner," said Dougherty County District Attorney Greg Edwards.
Prosecutors said the death penalty is justified because of the viciousness and premeditation Brown used committing the murders.