I completed B.E in 2011. I dont have 2 years of experience. Is it mandatory to have experience?

if you want to take admission in master degree then there is no need to have work experience , only for part time or executive course you need to have work experience

You did not mention, what degree you want to pursue from University of Melbourn. If you pursue MS which is 2 years duration course, then work experience is not required but if you want to pursue MBA, which is 16 month course then following are the eligibility criteria:- Eligibility Essential admiss