Do you need to drive it daily? If yes, pass on it - they are getting old and most have been abused.
Other than that, they aren't any more complicated than any other mid-80s car.
Structurally, rust is a problem. Rear suspension pickups, floor (especially under the cargo bins behind the seats).
Mechanically, the diff and trans are stout enough and easy to replace. The 12A is generally reliable, BUT there are a few things to watch out for:
1. Overheating. Any sign of it, and pass (or count on replacing the engine).
2. Emissions are a pain in the rear. Rats nest of vacuum hoses and solenoids running all over the place. If you're in a non-emissions area - rip it all off, plug the vacuum ports and call it a day. Otherwise, prepare for some time diagnosing problems. The car has a carb, but also has a very basic ECU of sorts, and the vacuum stuff.
The car had three catalysts and they all suck. Replace the forward cats with a straight pipe, and the main cat with a high-flo and it will pass sniffers fine and pick up a good bit of power.
The suspension is simple. Mac strut in front, solid axle rear. The rear doesn't like to be lowered too much, it binds up, so either leave it near stock height, or plan on welding up a three-link or something similar.
Brakes are pretty good. Not CRX or Miata good, but better than most cars of the era.
Rear axle came in disc and drum varieties. Disc came on the GSL and had a LSD. Drum came on base and GS and no LSD. But, the pumpkin can be swapped between them.
GSL-SE was the 84/85 fuel injected version. Nice cars, but harder to find and usually a good bit more money.