What's more obvious is that your C, D, and E drives all have around 10 GB free, which is often not enough, especially when you consider the effects of temp files, both from Windows and Sims 4. If you want to see whether the packs you added are in fact a problem, you can temporarily disable them from loading. A number will appear in the lower left corner of your screen, over part of the UI. What kind of fps are you seeing? You can see it by bringing up the cheats console (crtl-shift-C) and entering 'fps on' without quotes.
Adding those packs shouldn't grind your game to a halt, especially given your hardware.Information, Guides and Announcements for the EA app.