How can I save notes taken in the Galaxy Ace's Notes 2.0 application to restore after a system reset?
Install Titanium backup - (this requires root access) from Play store and you can backup thinks like sms/call logs/apps and app data. In your case, you might want to backup the app and the app data for that particular app, save your backups. Once you restore the phone, you can use Titanium to restore that app and data.