If you're prepared to spend 15K I'm sure you can get an R34 GT-T through private sale, with RWC. A bit newer and IMO better looking. Get a StateRoads check for greater peace of mind.
But hey, if you like that R33 (and it does look beautiful - love white) then go for it. I'm sure everyone will tell you there's cheaper ones out there. But if spending a couple of extra K's means less hassle and someone you can go back to with minor problems then maybe it's worth it.
And as others have said, the condition of the car is a much better indication of how worn it is, the odometer can't be trusted.