Compatibility summary
You will need a travel adapter in Turks and Caicos Islands; plug types used there differ from South Korea. Voltage differs by more than 20% — a voltage converter may be needed for some appliances.
Plug comparison
South Korea plug types: C F
Turks and Caicos Islands plug types: A B
There is no common plug type between South Korea (C F) and Turks and Caicos Islands (A B). You need a travel adapter.
Voltage comparison
South Korea: 220V, 60Hz
Turks and Caicos Islands: 120V, 60Hz
Voltage converter recommended (South Korea 220V vs Turks and Caicos Islands 120V).