You can be detained if there is reasonable articulable suspicion that a crime has been committed, is being committed, or is about to be committed.
You can be arrested if there is probable cause that you have committed a crime.
It's possible that a detention that takes longer than is reasonably necessary could be considered an arrest.
In most cases (and you are not driving), you do not have to provide ID to police unless you are arrested or you are a witness to a crime.
If you are driving and you are stopped by the police, you must present a driver's license (which happens to have your name, address, etc.).
Regarding gun carrying: We now have constitutional carry and there should be no reason why you would need to provide a handgun license to police. However, if I we're driving and was stopped by police, I would give them my DL and handgun license in the hopes that I would just receive a warning.
