Zlringer94 Are you still seeing the issue with the EA App, or is the only current problem that Sims 4 doesn't work? For Sims 4, try forcing the game to open in DirectX 9 mode. If you can open the EA App, click Sims 4 > Manage > View properties and add -dx9 to the command line box.
If the App doesn't work, there should be a setting in Options.ini for DX9 mode. I don't know exactly what it's called because I'm not in front of a Windows PC at the moment, but you can open the file in Notepad and search for direct , which should find the option. Set DirectX 9 to 1 or DirectX 11 to 0, whichever you see.
I do want to mention that your computer would be fine running Windows 10, if it becomes necessary. The EA App is supposed to run fine in Windows 7, and I believe it still does most of the time, but there may be some issues that don't really get ongoing support. It's also worth considering, at least, because the graphics driver info in your dxdiag is still missing, even after sfc and reinstalling the driver, which suggests there might be an OS issue underlying both problems.