@Vicilana Please try playing in a clean boot:
https://support.microsoft.com/en-us/topic/how-to-perform-a-clean-boot-in-windows-da2f9573-6eec-00ad-2f8a-a97a1807f3dd
The one service to leave enabled is the EABackgroundService, which the EA App needs in order to run. Disable the rest as described.
When you reboot your computer, go through the Task Manager's background processes list shutting down any service that doesn't absolutely need to be running, for example anything from MSI Afterburner to RGB software might still be enabled. If you accidentally kill a critical process and it doesn't restart on its own, just reboot your computer again.
Don't open anything other than Sims 4 and the EA App while testing, not even a browser window.
If that doesn't help, repeat the test, except with your computer completely offline. You can sign into the EA App and put it in offline mode, then disable wifi and/or disconnect the ethernet cable before pressing Play.
If that doesn't help either, please post a new dxdiag.
The "Windows was not properly shut down" errors are from your having to force the computer to shut down, not directly from Sims 4.