The conviction aside and it could be that you would not even get asked why an arrivals card had been filled in errantly but the more significant issue that will prevent you from getting a 175 visa and just about any other than a 457 or another tourist visa will be unfortunately your age!

Professionals and other Skilled Migrants - Workers - Visas & Immigration indicates it in top paragraph and you will see the requirement to be under 45 as you have a look under most visa headings and certainly in the eligibility section of visas.