Hi,
this is simple:
- Menu Module for links
- HTML Custom module for name and avatar

In HTML Custom module we use Content Plugin ( docs at http://docs.easy-profile.com/index.php/article/content-plugin ), with this simple code:

Hi {user name} {user avatar_mini}

NOTE: to trigger Joomla content plugins the module need to have enabled the "Prepare Content" parameter.

To create Logout menu item we have used our custom code, but this is not necessary, you can use a simple extensions like "Quick Logout" (http://extensions.joomla.org/extension/quick-logout), it's free.