Sorry to hear you're having issues. I'll do my best to help you out. I'm looking into your logs now, and I'll update when I have more information for you.
- Update -
This is definitely a problem with the drivers for your graphics card, or the configuration of your operating system.
The driver version date for your graphics card is 6/5/2012. The drivers are failing to load DirectX 9 hardware acceleration and are falling back to OpenGL, however the OpenGL version is too old, and doesn't meet the minimum requirements of the Unity engine (absolute minimum is GL 1.4)
Relevant Log information is below :
d3d11: failed to create D3D11 device (0x887a0004)
D3D11 initialization failed
D3D9/D3D11 initialization failed, trying OpenGL
GfxDevice: creating device client; threaded=1
OpenGL:
Version: OpenGL 1.1 [1.1.0]
...
Crash!!!
Hopefully there are newer drivers available, as the manufacturer specs for your card show it's specified to be able to run DirectX 11 and OpenGl 4.1.
You can get updated drivers from the manufacturer's website in the link provided below. Since it's an hp laptop, they may have modified the design spec of the gpu. If they did that, you may need to use drivers from HP itself.
(Try these first, they're likely to be much more up to date)
http://support.amd.com/en-us/download(HP - Try these drivers if you can't use the AMD ones)
http://www8.hp.com/us/en/drivers.htmlIf you have any issues with the drivers, just let me know.