The first one is a pencil case. From memory, you put pencils in the plastic white flap. I remember lots of Korean pencil cases from the early 20’s had combs and mirrors inside. This was the trend then. It’s great to see you enjoy these items as I did when I was a kid in Korea.
I remember begging for these as a kid, Tokyo Mew Mew was my first ever anime and I was obsessed. I could never find the dolls anywhere though and when we did they would be hella expensive😭