Stock boost spec: 6.7 psi
The turbos on 84 300ZXs do not have water cooling, cooling was added in 85. If you have an 84 turbo, drive easily for the last mile or two before you turn the engine off. For a rebuilt stock turbo you should expect to pay about $300-500. If your 300ZX turbo seems a little more sluggish than you think it should be, try measuring the peak boost level, it's probably fallen a bit from its original level due to wear, espically in the wastegate.
There are two important things to remember when modifying your 300ZX turbo:
You know you're using your turbo when you open the hood and see this.
There are many companies that sell a wide array of turbo accessories. The most common(and best for the money) is a "boost controller" and does nothing more than enable your turbo to make more off-peak boost with varying amounts of peak boost increase by altering the pressure to the wastegate. This sounds unimpressive, but mid-range power is increased to the "Oh my god, we're going 80mph in my driveway" range. The single best boost controller out there is a hallman style unit. It is a poppet valve dealie, and can be ordered from Buschur Racing (www.buschurracing.com) for $90. Look here for a fairly comprehensive explanation of the theory behind boost controllers.