No, the break pads are not contacting the disk in the right place - the pads are too far away from the disk.  
Looking at the disk you can see where the pads use to contact the disk - the wear path of the old pads. This is where the new pads should also contact the disk.

Since the pads were replaced but the disks were not, the disk should be the original size and a new disk should not be needed.

It's possible that the wheel axle is not seated in the drop outs correctly preventing the disk from being in the correct place. If the wheel is seated correctly then the shop needs to make this right.