Australia

Hi Venkata,
If you are indicating PR as in Public Relations, yes, there are courses. It is closely related to mass communication, journalism and media, advertising, marketing, etc. Therefore, you have to look for a programme which includes PR in it. Many colleges like RMIT and The University of Sydney has such courses. Look up the net and explore, you will find many options. You can also see here:
https://studyabroad.shiksha.com/masters-of-humanities-in-abroad-cl1244

Hello,
Though your academics are pretty good, but can't guarantee admission in Australia as they usually do not have so many backlogs. But, I would suggest you to get in touch with some good consultancy who can guide you better.

Yes, you are eligible for your Masters in Australia.

Yes, you can. However, based on your syllabus only the course director can take this decision after seeing the papers you have covered in your engineering Diploma. If you have done this Diploma after 12th, you will be considered easily. If you have done 10th and then Diploma, it will be difficult to confirm this.

Hi Mangesh, RMIT, University of Queensland and University of Sydney among others. Please visit the websites to check programme duration. Usually, MS duration in Australia is of 1 year only.

NZ is a great option as per job security. Next comes Australia. Studying in U.K is better. But combining both, Australia suits better to Indians except for certain miniscule hate crimes.

Everything depends on the potentiality of yours and your ability. By the degree of BBA (IB), surely it can land you in a good corporate world. And, you can able to excel and enhance a lot. Thus, I would simply say 'yes'. You can get a job in a good company.
Everything depends on the Interview, and your knowledge skills.

Yes, it is available especially in University of Sydney.