Welcome aboard, Preston!
You bought a great car, and the VQ is damn near bulletproof. There's a reason it's been on the "10 best Engines" list for 10 years.
As long as you keep up with the recommended maintenance, there's not a lot of glaring issues with these cars.
As far as "must do" mods: Buy a Z-tube (it's the intake tube for the 350Z), you can get it from one of our OEM sponsors... it's a 5-minute swap, adds a few horsies and sounds cool as hell.
http://www.nicoclub.com/addirectory.shtml
The Motordyne Engineering plenum spacer is a good mod too, very stealthy. Combined with the Z-tube, you'll be VERY close to +20 hp.