Ah, you need to answer the questions all correctly based on the events that happened. It will eventually mention the doodles on the letter that you received from your mother and that will spell out the password.
For ease of the situation since you were stuck on it, I will write the password here if you do not want to go through the hassle of trying to poke through the parts of the side story again.
Password: Stars or stars
Either or is acceptable for the scene to progress.