Does the property have the right to ask the owner to suspend business for rectification?

Generally speaking, there isn't. When it comes to illegal decoration, construction and modification of the property, the property only has the right of coordination, but not the right of law enforcement. But there is an exception, that is, telling you that the problems that need rectification or illegal rectification have endangered the safety of citizens, so the property has the right to force you to suspend business for rectification.