The Fazer thrives on revs and that's a pretty low mileage so it shouldn't be harmed by 2000 miles of brisk riding.
I'd suggest an oil and filter change (you never know, the previous owner may have felt rapeseed oil was good enough since he was getting rid), and see how it gets on after that.
It might be worth a look in the air box too, firstly to check the filter and second to see how much oil there is in there, if there's a lot it may indicate excessive blow-by past the piston seals.