Origin says my battlefiled is limited edition but it shold be premium

Everything is as it should be, if you purchased the BF3 Premium Edition you will see the BF3 Limited Edition in the games section of your origin client to download. 

To download your Premium content  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.