Can a member of the NG go with their AD spouse if they PCS to Korea?

Not unless you gwt a release. I don't think there is any NG i Korea, you need to check

You would need to have your spouse apply for command sponsorship....and be approved....IOT have you come with. If Command Sponsorship is not approved, you aren't going with. Now, IF sponsorship is approved, then you will need to figure out how to get back and forth to your NG unit to attend monthly battle assemblies.

Here is a previous post:

https://www.rallypoint.com/answers/as-a-member-of-the-ng-can-i-go-to-japan-or-korea-with-my-ad-husband-or-would-i-have-to-switch-to-ad-to-go-with-him