Dear Mr. Young,
Thank you for posting your request on History Hub!
The Federal Government does not ordinarily create or maintain birth, death, marriage or divorce records. Such records are made and kept by State and local governments rather than the National Archives. We suggest that you search the index to South Carolina Births and Christenings, 1681-1935 and contact the South Carolina Office of Vital Records for your father’s birth records and search/order his death record from the Arkansas Department of Health.
We hope this is helpful. Best of luck with your family research!
Information about South Carolina birth records:
Arkansas death records indexes on-line and then order record from the state: