People open secondary Gmail accounts all the time and they are never closed. I don't think the reason your account was closed was that it was for your son. Wer

People open secondary Gmail accounts all the time and they are never closed. I don't think the reason your account was closed was that it was for your son. Were you uploading a lot of images/videos? That might have triggered some alert that you were using the account as backup/storage. That has been against their policy for a long time.