We would say crime or broke the law for all of those. Of course, there are levels of seriousness. Offenses (driving without a license), misdemeanors (sneaking into a plant territory), felonies (murder), and treason are levels I'm aware of. They are all crimes. I have never heard of an administrative offense, but if murder or stealing isn't an administrative offense, then in English (as least American English), you might call it an offense or misdemeanor.