[obermd]

The factory tires are covered under a separate warranty that should have been provided when you purchased the car. What you're seeing on that tread can be caused by any number of things - improper balancing (doesn't take much), lots of very hard cornering (not likely but I've seen tires do this when inflated past the sidewall PSI and cornered hard), and really rough roads on seriously under inflated tires. The fact that the chips are on both sides makes me think balance is the most likely culprit. Based on the apparent tread depth those tires look like they're about two thirds of the way through their life span.

Now for the good news, other than making the tires really noisy you're not looking at an immediate safety hazard. Just keep an eye on them to ensure the chipping doesn't get down past the tread depth.

 

[obermd]

It may be in your best interest to just bite the bullet and put a new set of quality tires on the car. The fact that you had a flat on one tire and the tread on three of them is damaged like this makes me wonder just what type of roads the previous owner was driving on. Which trim do you have?

 

[obermd]

I would also guess gravel damage.

I don't think the tires are covered under the B2B warranty, but I think they have some kind of warranty.

However, that's generally not going to be something covered under a tire warranty. In general, the things that would be covered under warranty would be broken belts or the like. That is something that generally will be caused by the use of the tire, not a problem with the tire.

Source of this info: I worked in a tire shop for four years.

That would be road hazard warranty and I don't think the OEM tires on the Cruze came with this - just a tread-wear warranty.

 

[obermd]

I just took a closer look at the image OP posted. I'd replace the tires. They have been driven hard while seriously under-inflated. If you look closely you'll see that all the damage is on the outer sets of tread lugs with none in the middle, which is sure sign of under-inflation. This puts more stress on the sidewalls weakening them as well. Also, note the crack dead center in the bottom channel at the base of the tread lug - the rubber is starting to deteriorate on at least this tire.