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oh dear are you logging into the right account ? i mean if you have two origin accounts are you logging into the right one

also check to see if somehow the games are hidden in the my games tab click the show hidden games-then unhide them if they are there

if the packs are missing contact CS

contact CS

1.https://help.ea.com/en/contact-us/
2.Click on the orange NEXT button
3.Select a platform
4.Click on the orange NEXT button
5.Select a topic and describe your problem in a few words
6.Click on the orange NEXT button
7.Click Chat Now to chat with a Game Adviser

edit for image

Okay, if this can help figure out exactly what the problem is, I have two base games, and I feel like one of them disappeared along with the expansion packs..

 The one that is installed on my Origin right now is the one I got AFTER the first one, and came with the pack with both Island Paradise and The Sims 3, and the installation code matches the second one and not my original. My other base game disc is lost, although I have the code, but is sadly the one with all of my expansion packs downloaded.

you will need to contact CS then only they can look at accounts/account related/missing games/code issues

contact CS

1.https://help.ea.com/en/contact-us/
2.Click on the orange NEXT button
3.Select a platform
4.Click on the orange NEXT button
5.Select a topic and describe your problem in a few words
6.Click on the orange NEXT button
7.Click Chat Now to chat with a Game Adviser

if your stuck in a loop  on live chat time is X amount and it still doesn't connect try try clear the internet cache and or switching browsers if using safari,opera or chrome try IE or Firefox