I said genuine didn't I? I never used pirated OS or condone using it either. It only leads to issues.
I've had absolutely nothing but problems with every Seagate drive I've ever had, I'm not sure if this is common, but maybe something to keep in mind.
That's a laptop HDD. Although it would work its probably best to stick to a 3.5" I have always found the smaller ones to be noisy.
If you are into your games and its not just a casual play I suggest you shoot a little higher than 250gb! Maybe this http://uk.pcpartpicker.com/part/hitachi-internal-hard-drive-hds721010kla330 Hitachi are pretty good quality drives and 750gb too.