very
Not unless the act that was committed was a violation of a criminal statute.
By definition criminal behavior is a "behavior in violation of the criminal code" also known as the law.
The charge cited in the question appears to be a violation of traffic code and is not, strictly speaking, a criminal violation. Therefore, although it will appear on your drivers record it will not appear on your criminal history record.
Criminal
Yes, Graffiti is a Criminal Law violation.
I would approach the city council and ask them to either direct enforcement or modify the city code to match the reality of code enforcement.
A broadly defined as an act which violates state or federal law
Yes, smearing feces can be considered a criminal act, as it can be classified as vandalism, assault, or a health code violation, depending on the circumstances and location where it occurs.
Do not entirely understand the question - but - yes, a 'violation' of a criminal statute is a synonym for an offense.
Any violation of any criminal statute, felony or misdemeanor, is a violation of parole.
Intent
Violation of probation