Re: Downloaded Packs appearing as not installed in Sims 4
@rainbow_rijii Please clear Origin's cache:
https://help.ea.com/en/help/faq/clear-cache-to-fix-problems-with-your-games/
If you're given the option, try repairing the game in Origin: open your game library, right-click on the Sims 4 icon, and select Repair. Then click on the Sims 4 icon, open More > Expansion Packs, scroll down to Island Living, and see whether you have a Download button. If you do, click it, and let me know whether it downloads. Repeat for your other missing packs.
If that doesn't help, clear Origin's cache again. Next, with Steam and Origin closed, go into the game's program files and look for folders for each of your missing packs. They're labeled by type and release order: for example, Island Living was the seventh expansion released, so its folder is EP07. The default location for a Steam install is this:
Program Files (x86)\Steam\steamapps\common\The Sims 4
For any folder you see for a missing pack, drag it to the trash. (Be sure to look just in that main Sims 4 folder, not in Delta: those folders are separate.) Once you've trashed all the folders, restart your computer, open Origin, and try again to download those packs.
In case it helps, here's a list of Sims 4 packs so you know which folder corresponds to each one:
https://en.wikipedia.org/wiki/The_Sims_4#Expansions_and_add-ons