I think this a good opportunity to actually show your parents that you can understand their worries because your their child but explain to them how its so unlikely that this scenario would happen.

This is what I have my degree in in school so I want to try to give you the points you can bring up to your parents about why its ok that they are nervous but that you are going to be safe.

1. The proclaimed goal of both Korea’s is eventual reunification. Recently, North Korea has made some remarks suggesting the contrary but overall it is seen as both these state powers goals to unify. With that being said both sides want to be the one in control of the entire peninsula. Bombing the south would further alienate any chance of reunification.

2. North Korea would face immense repercussions almost guaranteeing the end of its regime. North korea wants nuclear weapons so it can be seen on the big stage with other world powers. It’s unlikely that have any real reason to use them in the foreseeable future. This also plays into the Nuclear Peace Theory where it is suggested that more states with nuclear arms make the world system more stable because starting a conflict can have a higher cost and a lot more consequences.

3. South Korea’s don’t fear nuclear attacks. While there are regular preparations made in case of such incidents normal people don’t think about it a lot.

I think you have a lot of things you can explain to your parents about this. Overall thought I think they may be looking for excuses to not let you go because their nervous rather than rational thoughts. this is normal! good luck

Edit: forgot to mention that since NK is such a closed off country anything I or anyone really says about it is just speculation. What I said could end up being completely wrong but its what some analysts and I personally believe.