This is wrong..if you are charged with a criminal offence then that criminal history remains on file. From memory, I think it is 99 years, or that might be how long a Warrant remains in existence, but in any event your criminal history does not get destroyed. From experience (and I hope it doesn't offend), but (NSW) the fingerprinting of juvenile offenders was sometimes the only way we could identify bodies that died from a drug overdose.
OK, some real facts, from the Victorian police website (obvioulsy this may differ in other states).
• If the individual was an adult (eighteen years or over*) when last found
guilty of an offence and ten years have elapsed, no details of previous
offences will be released.
• If the individual was a child (under eighteen years*) when last found guilty
an offence and five years have elapsed, no details of previous offences will
be released (Exception: Court orders on care / protection applications will
not be released regardless of the age of the order)
* The age jurisdiction of Criminal Division of the Children’s Court was increased on the 1st of July 2005 in accordance with the Children and
Young Persons (Age Jurisdiction) Act 2004. This amendment is not retrospective and offences committed prior to this date will be released in
accordance with the previous age jurisdiction of 17 years (revised02/06).
There are a few exceptions for some serious sexual crimes, or working with children (which don't apply to the OP).
Also,
Findings of guilt without conviction and findings of guilt resulting in a good behaviour bond are findings of guilt and will be
released under this policy.
Victoria Police - Release Policy
Note, I'm not a lawyer, so don't rely on this advice!