This is driving me nuts because I had the hero and swapped it out to the Moment and it did the same thing. I am using the Gmail app and whenever I get new mail I have to go into the ALL MAIL label to see it even though the mail has a Inbox tag on it. By doing this I don't get any notifications of new mail and must check it manually. I've tried clearing out Gmail app and Gmail storage but it will only sync once and stop again. So anyone having the same problem? Gmail not pushing mail into the inbox? I posted on google help forums but so far people only told me to clear data of the applications.