Hi,
I will help you to launch the Office applications:
Let us follow the steps mentioned in the following link and check if you can launch the Office 2013 applications:
http://office.microsoft.com/en-us/support/why-cant-i-start-my-office-2013-application-HA104011864.aspx
If the issue persists, then repair Office 2013 suite following the steps from the link below and then check if you can launch the Outlook application:
http://support.microsoft.com/kb/2769349/en-us
Ensure to perform a Quick Repair and check if it helps.
Now launch the Office 2013 applications and verify.
Let us know the results for further assistance.
Thank you.