Well, lets see if we can help.
The test used to determine whether an arrest took place in a particular case is objective, and it turns on whether a reasonable person under these circumstances would believe he or she was restrained or free to go. Arrests may occur by either the touching or putting hands on the arrestee; by any act that indicates an intention to take the arrestee into custody and that subjects the arrestee to the actual control and will of the person making the arrest; or by the consent of the person to be arrested.
There is no arrest where there is no restraint, and the restraint must be under real or pretended legal authority. However, the detention of a person need not be accompanied by formal words of arrest or a station house booking to constitute an arrest.
I hope that is of some assistance.
I believe you asked when Miranda rights should be read. The police are under no obligation to read them unless the subject is in custody and they wish to interrogate him.
It's a common misconception that you must be read your Miranda rights as soon as the police have contact with you investigating a crime. This is not so. They need only be read to you prior to the asking of incriminating questions.
As articulated by Justice Warren, author of the majority opinion in the Miranda case:
“The person in custody must, prior to interrogation, be clearly informed that he has the right to remain silent, and that anything he says will be used against him in court; he must be clearly informed that he has the right to consult with a lawyer and to have the lawyer with him during interrogation, and that, if he is indigent, a lawyer will be appointed to represent him.”