@Juxtaposed Are you 100% sure you're running on OpenGL as the renderer? In the log, I see it's loading some DirectX DLLs.
EDIT: Never mind. I think I see the problem here.
22/06/2016 11:19:28:118 [22288] | ERROR | Your graphics card does not seem to support OpenGL 4.3. Initialization failed.
Do you have an AMD graphics card, Nvidia, or are you using Intel HD?
My guess is that your laptop is using Intel HD. Try this:
Rename the opengl32.dll to d3d9.dll
Then run the game in DirectX instead. Hopefully it works then.