Outlook 2011 shows new email messages after few hours, keep updating local ,Outlook2011 + Exchange 2010

Hello everyone!

I have real trouble with only one user account , Mac Air OS Mavericks +Outlook2011/14.4.4 + Exchange 2010 SP1. You can see New email messages after few hours and Outlook 2011 client keep updating local all the time.

Observations:

-- On the Exchange 2010 the user's email account size is 4.9GB, but Main Identity on the Outlook2011 is 8.2GB

-- Add second/different user account to the same Outlook 2011 and Second account working just fine...

-- I have more MAC's and Outlook 2011 + Exchange 2010 users (about the same size 3-5GB) and they all working fine.

-- OWA working fine.

1. Rebuild Main identity not working to fix the problem.

2. Outlook 2011 Re-installation and start with new Main identity recreate the previous state and didn't fix the problem.

3. Format different MACbook and install fresh OS and Outlook 2011, create the same user account  and not fix the problem,recreates the same state - You can see New email messages after few hours and Outlook 2011 client keep updating local all the time. 

4.  Create the same user account on the Windows PC+Outlook 2013, WORKING FINE.

5. On Exchange 2010 site - run in PowerShell the cmdlet - New-MailboxRepairRequest and completed successfully WITHOUT ERRORS Reports (NO 10062 report was created).

I need help ASAP, i can't fix the problem already 2 weeks.

Any advice and suggestions will be greatly appreciated!

Best Regards!