It is a little difficult to understand exactly what you are trying to say but I am trying. if you were charged with a criminal offence you would have been told so and you would have been read your 'rights', that is...."you do not have to say anything but anything you do say can be used in ......." etc.
Did this happen to you? Were you given a fine? Did you have to appear in a court of law?
From what you say, it does sound like you were only given a caution so it should be ok.