Hi saedeatheater,
From looking at your entitlements it appears that you've purchased Battlefield 3 Premium (not Premium Edition).
Battlefield 3 Premium does NOT include the base game, therefore, since the Premium expansions are listed on the base game's details page, they will not show up in your Origin client.
Please check your purchase confirmation mail. If this purchase was made in error, then please contact a Game Advisor via Live Chat at https://help.ea.com/contactus for further assistance with this matter. Due to account security and privacy concerns we are not able to assist with account and billing issues via a public forum.
Thank you for your understanding.
Dennis