The original slab is fiber reinforced with no wire or rebar. I wanted wire but the concrete crew swore by this. I now know that is because they make the same but have less work!!!
Your original concrete crew was correct. Reinforcement in shallow slabs only protects you against cracking from shrinkage. In your case, it would have done nothing for your structural cracking or subsidence other than hold the moving sections of slab together a little better.
Correct it is a monolithic slab.
I was going to talk to them about block verse poured wall I like the idea of a poured wall.
I would recommend that you do this. As Lakeroadster points out, ^ your issue is with the ground prep. In order to be able to rely on a new monolithic slab, you'd need to move the entire building aside, dig up all that loose dirt underneath, and then put it back in properly compacted layers.
A traditional foundation going down to solid ground (with a floating slab) should perform better for you going forward.
I would recommend reinforcement in your new floating slab, though. Your floating slab won't see the same stress that your old monolithic slab did, but the dirt underneath could still be suspect. Putting down a good bit of compacted high quality gravel under the slab will help you distribute the loads on to your dirt. In the event that you do have problems with the floating slab, the reinforcement will hopefully lessen them for you to the point where you don't need to make a big expense to fix it. (I did this for my slab because I had very shaky ground underneath and didn't want to get in to the expense of digging up 6' of poor fill to get it perfectly solid.)