If the acrylic was indeed 2” thick would your recommendation be any different?I could go into a long detailed answer here, but if the acrylic is indeed 1 inch thick it is not sufficient.
The back is normal for laminating a thinner colored sheet inside. I prefer painting but that’s acceptable.
This should be built from 2” acrylic.
Joints are not solvent, they look to be chemical polymerizing cements. Those types need annealing. The lines inside the joints are crazing.
In short, this will fail prematurely. IMO.
I can provide mathematical reasoning if you wish.