Freezing where the screen doesnt respond typically either means HDD I/O error (which is what your error logs showed) or graphics memory issue. If the mouse could still move, then it would be a CPU cache problem instead of a graphics problem. If it BSOD or just shut down, that's when it gets harder to pinpoint a specific cause because there tends to be several.
Anyway, glad you got it working. If you have any more problems, you'd better call up the retailer you got the laptop from for the warranty. Defective laptops are bad, especially if they show problems in the first few weeks.