@MeganFord1213 What I think is that the install path somehow got mangled for those two packs, or at least one of them, and the 2.17 GB represents the size of the program files of one of the packs, plus a bit of overhead. (I can't check the sizes of those packs myself because I don't currently have them installed on my mac.) I'd guess that the affected pack wouldn't show up in-game, but who knows. If it doesn't show, you can manually uninstall just that pack and reinstall it to its proper location.
For the weird aliases, try making new ones the same way you did for Ambitions, Late Night, and Outdoor Living. If you can't find those in AddOns, go to the broken aliases, or the originals if you still have them, right-click, and select Show Original. You can make another alias there and drag it into the folder where the broken ones are currently (delete those first).
The other thing you can do is right-click on the highlighted original and select Get Info. Under "Where," you'll see the location for the file, as well as the size. For example, this is the location for my installed packs:
Macintosh HD > Applications > The Sims™ 3 > The Sims™ 3 > Contents > Resources > AddOns
I'm curious where these two packs landed. But again, you can leave that for later, if you want.
As for Origin, you don't need to have it open while playing The Sims 3. (You do for Sims 4, but that's different.) Origin refuses to close for me too occasionally, but that's usually because I told it to do something it didn't like. (It and I don't always get along.) Try running the Origin reset tool for macs; maybe it will help:
https://help.ea.com/en-us/help/origin/origin/how-to-reset-origin-on-mac/
Edit: I just saw your other comments. To place an alias for Into the Future in the dock, just drag the alias that's in Applications, along with all of your other ones. If that doesn't work, right-click on the alias, select Show Original, and drag the original into the dock instead.
If your daughter is looking for her store stuff, she'll need to redownload it to her new game folder. She can sign into the Sims 3 store, go to Purchase History, and download everythng, but it's best to do so in batches of no more than six items at a time. The launcher doesn't handle large amounts of data very well. Worlds should be handled separately, not in a batch with anything else.
If your daughter's saves are missing, those would be in her game folder (Documents\Electronic Arts\The Sims 3) on whatever computer she used to use. They can be transferred into her new folder, and they should work, as long as she installs her store stuff first. On the other hand, if some of the packs aren't installed properly, she may not be able to load saves that depended on those packs.