North Carolina is a member of the Drivers License Compact, while Georgia is not. The state of Georgia though has other agreements with states to exchange information regarding traffic tickets their licensed drivers acquire out of state.
Researching this item for you we have found information stating that Georgia does not post 14 mph or under speeding tickets on your GA driving record, but you may want to check with the Georgia Department of Driver Services (DDS) to make certain this is true since state laws can change.
The DDS site points system for Georgia shows 0 points for a ticket of 14 mph or under so even if the offense does carry over onto your record, it does not appear that points would be assigned. The DDS points page states that the Department is authorized to suspend your license if its records or other evidence shows that you have accumulated 15 points within 24 months under the point system, including violations committed out of state.
The DDS also notes that a Georgia licensed driver shall have their license suspended for a conviction of serious offenses in Georgia or any other state. Check with the DDS site for a list of these violations.
If your license is suspended in North Carolina due to an offense that would suspend your license in Georgia, it is likely that your Georgia would also suspend your license. Also GA is a member of the Non-Resident Violator Compact which requires them to suspend your GA license if you receive a moving violation in another member state and do not pay or otherwise legally take care of the citation.