Yes you can but it depends on what the criminal conviction is and whether it carries a prison sentence or not.
No you can not, working visa's are very hard to get in Australia and in 9/10 cases those with convictions let alone drugs convictions find it hard enough to just enter the country, let alone work.
You have to appeal to the Department of Immigration. If they won't let you in, even an order from the Prime Minister won't get you in, unless the law of the land is changed. Strict criteria must be met.
Australia E Visa
Yes, citizens of Fiji require a visa to visit Australia.
Yes, but you need a visa. (US citizens also need a visa for Australia. In fact, everyone except citizens of Australia and New Zealand needs a visa for Australia.)
yes. I need a visa to attend a training in Australia.
Yes, you can use a Visa credit card at McDonalds cafes in Australia.
If you are not an Australian citizen or permanent resident you need a visa to be in Australia.
You have to be maximum 30 years of age when you arrive in australia. then can you stay there for 1 year on the work and holiday visa. otherwise you need a diffrent visa
no
Visa Australia
You can freely travel between New Zealand and Australia with a visa for either. Check with your foreign student adviser for more information in case their is some legality issue.