The age gap in ML and FL is not even visible. Moreover both of them suit perfectly to their roles. FL is in a profession that requires years of training. The king is childish and mischievious. I enjoy their scenes together more than other characters.
I think BCJ herself left the media and cut relation with everyone. Some people tried to find her, such as DGC and MTS and others didn't care about her. Either BCJ was forced by some really powerful people or she was so depressed due to some incident that she didn't want to face anyone. Losing memory is a blessing in disguise as BCJ found her fighting spirit back.
ML finally found out she is really the Im Se Ra. I don't blame him also. Moreover I will like to see how he is still going to fall in love with her as she is not that star anymore. I think he fell for her character, not only for her glamour. BCJ might not become a star again but I hope people who wronged her get punished.
This drama is something I needed right now. I already love the FL(younger version). We still need to know a lot about the older FL. Younger FL seemed kind, responsible and confident. I have a feeling we will see the younger ML and FL throughout the drama like Love your enemy. Older ML and FL are so chaotic together.
K-Drama 
didn't care about her. Either BCJ was forced by some really powerful people or she was so depressed due to some incident that she didn't want to face anyone. Losing memory is a blessing in disguise as BCJ found her fighting spirit back.