How to transfer all the information from Lite to Paid version
In case of Events and Reminders, you do not have to move them manually because it will automatically sync the data with iCloud as soon as you download Paid version however in case of Note, you need to move them to Paid version manually.
How to transfer the note data
Open Lite version and tap gear icon in the left top corner to go its settings page and scroll down to the almost of the end of the page, there is Transfer Data to Paid version, click on it so then it will transfer the note data to paid version.