When I plug the charger in it displays the green on the charger saying it's fully charged but when I push the power button it won't turn on
Portables that will not Power on.
Choose the method for:
"Resetting SMC on portables with a battery you should not remove on your own".
If this does not help, contact Apple.
Try this support article > Apple Portables: Troubleshooting MagSafe adapters
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