My Battlefield 3 Premium is not showing up in my games library. HELP!

BF3 premium doesn't show up in your games library, it's an account entitlement that is automatically applied without redeeming a code or installing anything. Also be advised there are two items with similar names in Origin, the "Battlefield 3 Premium Edition" which includes the base game and all DLC expansion packs, and "Battlefield 3 Premium" which is a season pass for all DLC expansion packs without the base game.  If you don't already have BF3 but bought Premium you will not have a game in your "My Games" tab of the Origin client.  If this is what you purchased and you do not already have BF3 please contact EA Customer support:  https://help.ea.com/contact-us and they can fix this for you.  If you purchased the BF3 Premium Edition you will see the BF3 Limited Edition in the games section of your origin client to download.

If you already have the BF3 base game and have purchased Premium start BF3 in Origin you will be prompted to download your expansions.  If this doesn't happen right click the BF3 icon in your games library and select "show game details" then on each expansion right click and select "download".  After all selected expansions download you can play BF3 on the expansion packs.  Then go to Battlelog, multiplayer, server browser and at the top of the page add the new expansion maps and game modes to your server browser filter settings to find games on the new maps.