My Game Is Broken!!!

ChristinaM1327​  The immediate issue is that your computer's internal drive is almost completely out of free space.  You had less than 1 GB free (out of 60) when you ran each dxdiag, and that's not enough for Windows itself to maneuver properly, let alone Windows plus a demanding game.

So please free up as much space as you can.  20 GB free would be a good goal, but I realize that might not be possible given the size of your drive.  So do what you can and let me know how much space you have.  If you can get to at least 10 GB, Sims 4 might start working again.

Interestingly, your first dxdiag said the graphics driver wasn't working correctly, but your second dxdiag did not.  This kind of issue can be due to the lack of free space, directly or otherwise, and may come and go until you've cleared more space.  A nonfunctional driver would certainly prevent Sims 4, or almost any game, from running properly.

Longer term, you may need to get an external drive to store your Sims 4 data, since the base game alone is over 20 GB now, and so is Windows.  That doesn't leave much room for anything else even before you start adding saves or DLC.  You'd see better performance with a relatively smaller solid state drive, say 256 GB, rather than a very large and slow mechanical drive, so keep that in mind if you go shopping.

Or you may decide that it's not worth spending more money on this laptop and that it's time to upgrade.  That would obviously cost more than an external drive, but you could improve performance to a greater extent, provided the new laptop's hardware was more powerful than the old one's, of course.