Misfit-RX Are you willing to try installing the game through Steam instead? The base game is free, and as long as the Steam account is linked to your EA account that owns all this content, you'd be able to tell the App to download the DLC into your Steam install and have it all load at the same time.
If you're interested, uninstall the EA App version of Sims 4 again, sign into Steam, download only the base game, link your Steam and EA accounts, and see whether the game looks right. If it does, start installing your EA App-owned DLC, under Sims 4 > Manage > Manage add-ons, and load the game every few packs to make sure the problem doesn't reappear.