Removing then re-adding your Gmail account often fixes login and not receiving email issue.
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From a Home screen, tap the Apps icon
.
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From the Apps tab, tap Settings.
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Tap Accounts.
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Tap Google.
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Tap an account.
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Tap Menu
(located in the upper-right).
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Tap Remove account.
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Tap OK.
Related Topic: Add an Existing Google™ Account