As you may be aware Georgia is not part of the Drivers License Compact that most US states are members of, including North Carolina but the GA DMV will still report convictions for moving violations back to your home state. So the following too closely violation conviction will likely show up on your North Carolina driving record.
According to the NCDOT Division of Motor Vehicles, if you are convicted of certain moving violations which take place within the State of North Carolina, driver license points are placed against your record. The DMV does not mention points for out of state offenses.
The DMV does state that convictions occurring outside NC may result in your license being suspended or revoked if the violation would have resulted in these penalties if the offenses had taken place in North Carolina.
You will need to check with the NCDOT to find out for certain if points will be assigned for your out of state Georgia citation. If DMV points are assessed it would be according to the NC points system which lists following too closely as 4 points.
Whether insurance points will be assigned to this out of state accident and ticket will be determined by your insurance company and their internal guidelines. The NC DOT notes that insurance companies use a different point system than the DMV to determine insurance rates. If you have any questions concerning insurance points, contact your insurance agent.
If your rates rise due to this Georgia accident or ticket you may want to shop around for better auto insurance rates.