How can I restore all my backed up data?
Copying and pasting folders from the old phone to the new one doesn't link it to the app installed in the new phone. Instead, try backup apps such as Titanium Backup, and make a complete backup of all the apps which you require from the old phone. Now, a folder named TitaniumBackup would be created in your SDcard. Copy that folder and paste it in the new phone. Install Titanium Backup in the new phone and try to recover the apps with data. Your issue will be resolved.