As for things to look for:
Stress cracks in the lower fenders (driver side has to be removed for battery replacement)
Mono-leaf spring is composite, look for cracks/chips etc, it'll need to be replaced if there's any damages so it doesn't break under load
Squeaks and rattles in suspension, they're pretty simple but costly in parts for the rear axle
Seals, look for dryrot, not sure if that's a Targa Top, but they flex and leak/make a ton of noise
If it's got the Z51(I think) suspension, check for the ability to adjust the suspension settings (I'm not too familiar with this option, my coworkers car had a bunch of costly issues)
All of the digital display and electric controls, there's a lot to go wrong
And lastly, tune-up schedule. The plugs are a pain and wires are virtually impossible.