The game crashes to the desktop without errors.

@Jaydee2906  This particular Sims 3 crash, the one that generated the info in your screenshot, happened because the game ran out of memory.  (No matter how much RAM you have installed, the game itself can only use ~3.7 GB due to its being 32-bit.)  That, in turn, is usually due to an overly complicated world or very active mods overloading the game engine.  So I would suggest testing with only NRaas mods, if you have them, but NOT StoryProgression.

Let the game clock run for a few sim-minutes, then put Sims 3 in windowed mode, open the Task Manager, and see how much memory Sims 3 is using.  Play for about 20 minutes, if you can, and check again.  Let me know the values you find.

Moving sims to a new world via the phone's Move option can be a problem because sometimes bad data comes along for the ride.  Since this method doesn't preserve the old world or much of its data, it's best to save your sims to the library and place them in a new save, quitting the game in between steps.  If you wanted them to have a connection to the old world, there's a way to do that with NRaas Traveler, but you'd need to have a copy of the save from before they moved to redo the transition.

Please do let me know if you run into any more Sims 4 issues as well.

For the scripterror, the "error" is a problem with the program reading the file.  Please open it in Notepad and copy and paste its contents into a reply here.  But it may not be relevant if you keep getting out of memory crashes.