In addtion to the points you made above:
The HP has a quad core processor, the Sony's i5 is a dual core
HP has 6770M graphics, Sony 6630M

The HP will do better at all computational and gaming tasks.

A FullHD screen in a laptop is useful if you're doing photography work or frequently work with documents that you need to zoom out on, because you get more details. It doesn't help much with text, because you're limited by the physical height of readable text on screen. Full HD also overwhelms most video cards in laptops, so you have to choose lower resolutions for gaming anyway.

Bottom line - the HP works better for all but a few specific tasks (photo editing). Of course, the Sony is showier in the orange case.

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