You Do Need power plug adapter while traveling from Falkland Islands to South Korea.

Here is Why You Need An Adapter

The outlet and plug type used in South Korea is F and in Falkland Islands is G. This is how they look like.

Falkland Islands

In Falkland Islands, outlets of type G are in use.

Type G

South Korea

In South Korea, outlets of type F are in use.

Type F