It sounds like your account is only syncing over IMAP. To sync all those sections, you will need to have EWS enabled for the account. Even then, I believe that the trial version of eM Client does not sync notes. If you do not have EWS licensed for your SmarterMail server, you can add a WebDAV account to eM Client to sync contacts, tasks, and calendars.
Andrew Barker
Software Developer
SmarterTools Inc.
www.smartertools.com