Journalism

It is better to study journalism from a good college as diploma courses and don't stop the regular degree, continue in both. If you have chance to go a government job go with regular degree or continue in journalism.

IIMC (Indian Institute of Mass Communication in Delhi
GGSIPU
YMCA
Lady Shriram College
New journalism colleges opened in recent era:
Delhi School of Journalism

Of course you can, and what is the need to go to Australia, when you have such great colleges in India. In CBSE, you are allowed to fail in 1 subject, if you have 6 subjects.

No, there is no national institute exams for journalism.

For becoming a news anchor, you must have a Bachelors or Master's degree in journalism or related field. Many courses have been designed to enhance the skill of aspirants.
You can also take communication classes for that in a well-recognized university.

You can go for following colleges:
Indian Institute of Mass Communication, Delhi
YMCA
Delhi School of Journalism
Guru Gobind Singh Inderprastha University

Eligibility for Bachelor of Journalism and Mass Communication [B.J.M.C.]:
10+2 or equivalent examination with minimum 50% marks conducted by a recognized university or board. Student has to clear entrance exam also and on the basis of marks obtained he/she can apply for the admission.

There are no good coaching institutes for mass communication and journalism. You should be updated with current affairs and general knowledge to get in any college that offers journalism and mass communication.