If arrested, does one need to be told they are under arrest and for the infraction to be identified.

No. The Miranda rights you are referring to only have application in a situation where a person is interrogated while under police control, and makes admissions in response to questioning that could be used to obtain a conviction. Miranda is not a prerequisite to arrest. All law enforcement needs to make a valid arrest is to be able to articulate a belief that there was probable cause for the arrest.