If you decline her requests to see your phone, then you are automatically guilty as a womanizer.
Don’t whine about it being your personal privacy, just hand over the damn phone. The act of allowing her access to your phone will go a long way in gaining her trust quickly and destroy her suspicions.
A lot of Korean women hate Korean traditions and culture which tend to favor Korean men. When you start to date a Korean woman, they may already be thinking of marrying you and returning to your home country one day.
I suggest you be clear early in the relationship about your future plan about returning home and if that plan includes her.
The curfew time depends on the woman, but don’t be surprised if you are dating a girl who is 25 and she insists she has to be home by 10pm.