James Allen Griffin Jr., 29, made the threats at 3333 Karian Drive, sheriff's Capt. Scott Peebles said.
SWAT was called to the residence at 4:17 a.m., dispatch confirmed. The last unit cleared the area at 8:37 a.m., and no one was reported injured.
Griffin was booked into the Richmond County jail around 11 a.m. on felony charges of kidnapping, attempted rape and five counts of aggravated assault.
The kidnapping and attempted rape charges stemmed from an earlier incident today.