Memories- Want to read it again ones

A story where a girl is from an island which is thought to be a star and she sings the most beautiful song in her village and one day a famous model/singer i think was stranded on that island but his manager found him and his manager gave Anzu her card so when she come to Tokyo she could be a model/singer like him.

The manga where the girl was in softball at middle school and bought 10 mangas each month but once she got to high school she tried to find a bf but no 1 seems to like her because of her unseemly outfit, then she ask boy to coach her so she could have a bf.