Your screenshots do not show, if you also edited the settings behind the "options" button in the "System Preferences > iCloud" panel. Did you activate "My Photo Stream" in the PhotoStream options? Make sure that both the My Photo Stream and Shared Photo Streams checkboxes are selected.
And is your network active, while you are trying to connect to the Photo Stream?
BTW: Your screenshot shows your Apple ID email account. That is not safe.
Did the Photo Stream images download to your Mac? You can view all your Photo Stream images in your User Library: The images are stored in the subfolders of
As you probably know, the User Library is hidden since Mac OS X Lion.
You can reveal it from the Finder's "Go" menu in the main menu bar:
Finder > Go
Then hold down to options-key ⌥, until Library appears in the drop-down menu. Select it and open the Library, then navigate to the "Application Support" subfolder, then "iLifeAssetManagement", then "Assets".
If all fails, copy and save all images you find there, then delete this folder, log off and log on, then try again.