Tarryn_Higgins This dxdiag and DeviceConfig are from the newer laptop, right? The latter shows that while Sims 3 doesn't recognize your graphics card, it's able to use the GPU, so that's not the cause of the issue. I can try to help with the hardware error on the older laptop, but it sounds like that's a moot point if you can get the game running on the newer one, so let's start there, that is if you're having trouble playing. Are you still seeing the initialization error, or is there some other issue?
Meanwhile, to test a number of possibilities at once, please create a new admin Windows account on your newer laptop. Make it local, as in, don't link it to your Microsoft account or any email address. Give it a simple name (like Test) with no special characters in it. Try to play while in that account; you won't need to reinstall anything to do so. Let me know how it goes.