hmmm, yeah check over everything, tyres, brakes, lights, also, you have to take it for a drive, i never buy a car without driving it, if you dont drive it you wont hear or feel alot of things, obviously turn the radio off, but when driving let go of the steering wheel, does the car still drive staight or does it turn? listen out for any noises, may be clonks (which is normally suspension) or other things, you will know if it doesnt sound right,
if the guy said the brakes arnt noisey when hot, then take it for a big drive, warm them up, make sure he isnt full of shit,
and defently check under the car, make sure the rails and stuff mounts what ever it might be doesnt have big dents etc....
or you could always get racq to do a inspection if your unsure,
Hope this helps