I believe... that the people who are home when No-Rae arrives with her brother are: No-Rae's mother, No-Rae's sister-in-law, No-Rae's nephew, and Seol-A.
In Korea, it is not uncommon for students to be a couple of years than their counterparts in the US. Due to many factors. Also, is that the Korean age stated for No-Rae?