Yes, you can reapply for a student visa in Australia if you are eligible for it.
Yes, you can work while having a student visa during the course of your education there in Australia.
This visa allows a person to travel to Australia and continue their work here for a period of 1 year or maximum up to 3 years based on certain conditions.
Generally, you cannot extend an eVisitor Visa (Subclass 651). However, you can extend your Electronic Travel Authority Visa (Subclass 600) through a Visitor Visa (Subclass 600).
