M.L.
Well, he's just a baby, so he might well need the rest. But you could give the breeder a call just to make sure. If you didn't get him from a breeder, call your vet.
Make sure he has toys to play with in his cage. Birds need to keep busy to be happy. I'm so glad your daughter is socializing him well. Birds live in communities in the wild, as you know, and they really do need attention in order not to be lonely and depressed. But I doubt that your bird is depressed.
You might try making friends with him yourself while your daughter is at school. It would be good for him to know you well, anyhow, in case of any emergency.