As below.
Definitely plus 1!!
Also look for notchiness in the gearbox/transmission, clutch, any unusual wear on the interior, heavy gravel rash/scraping on the Z's underside, make sure the windows are working properly (ie they should go down about 1cm on opening and closing, then go back up to close), if electric seats make sure they're ok, seen a few that are defunct, make sure they have correct sizing of wheels (so you don't have any traction control/vdc issues), plus all the normal car hunting things. Can think of more, that's a start though.
Most of all take it for a good distance, on twisty road if you can, you'll soon notice if there are any handling issues, or anything else.
Edit -didn't see this til too late.
CongratZ!!