Actually it could happen if a game is incompatible with your Windows 8.1 version. !!!!
But that's not the case here. I have Windows 8.1 (64 bit) and the same disk Skyrim Legendary Edition but the game works flawesly. !!!!
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Have you in other games problems like this ???
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Obviously you have some libraries (dll's) missing.
Download this: http://www.mediafire.com/download/97erhoox4d3zabq/aio210.zip
It includes Net framework - Runtime datas - DirectX drivers - Visual C++ Runtime libraries.
Install that and restart your computer.
Report back. !!!! - GOOD LUCK. !!!
Maybe this video may have some answers.
https://www.youtube.com/watch?v=N9hANQyisDo