Elliz,
Yes, that is their ring. One thing I noticed with Shin Hye...she never removes "that ring." Sukkie, does not too...he just makes sure he hides it somehow...wahahaha!
And yes, I bet that was her prince she was talking to in that photo of hers with her phone and I agree with sis ladygermis, they are always busy tinkering with their phones but you won't see their iPhones anywhere when they are together.
Dance dweji tokki...