Cannot Redeem Packs on Sims 3 Website
@Juliet_smiles7 If you click My Page (just the header, not a subcategory), then scroll down a bit, does the Sims 3 base game appear as owned under My Games? The icon would be filled in—a blue square with a green plumbob—rather than faded gray. If the base game shows as owned, please make sure you're clicking Redeem a Code at the bottom of the page to register the worlds you've bought. The Jet Set pack might be handled separately, through the interface in your screenshot; I wouldn't know because I bought it with points rather than receiving a code.
If the Sims 3 base game doesn't show as owned on My Page, you'll need to contact EA customer support and ask that the game be re-added to your account. This is simple for a support rep to do once they understand the problem, i.e. that the Store page doesn't think you own Sims 3 and you therefore can't use your other purchased content. I strongly recommend live chat rather than email; if you're not seeing the option, try this link:
Make sure you're signed into an EA site (this one is fine) before clicking the link and that the location in the lower-right corner of the browser window is set to U.S. or U.K.
