I believe the HD 3000 is the minimum system requirement to play it, if I recall correctly, and at least for the GPU part. It's just that I feel it's not playable anyway, as my definition of playable is quite different on PCs 😛 (60+ FPS at a higher detail than medium, which is usually where consoles are set).
Getting a desktop or a laptop literally means nothing nowadays, as there are equivalent power/price systems in both categories if you know where to look; it's just a matter of whether or not you want it to be portable or easily upgradeable.
About the event viewer, I forgot to mention you should have copy-pasted the contents of the detail tab in XML format, sorry about that...
Once you select KoA's error record, the bottom part of the page will give a brief description of what happened. You should see a "Details" tab slightly above that description; select that, select the XML radio button and copy the entire content of it, then paste it here.