Degree

No, it is not equivalent to full-time BBA of 3 years.

Yes, you can apply for Bachelor in hotel management on your Diploma basis.

If you want to get into teaching profile I suggest you to complete MBA and try applying for UGC NET. Teaching is the best choice if your not interested in doing your profession. Or you can work various organisation as an HR, Sales and Marketing executive by completing MBA in any of the specialisations. This is the best growing sector and you will have a bright future in this field if you sustain right. So this is what I have to suggest you for course other than Nursing.
All the best for your future.

Hi,
You can refer the below link for eligibility:
http://www.ili.ac.in/courses.pdf

I suggest you to do MBA in HR, from a good college.

Hello,
You certainly have a lot of options in Mass Communication in India.
The best colleges in India, which are also pretty affordable are:
Jamia Milia Islamia, Delhi
Symbiosis Pune/Noida
Indraprastha University, Delhi
St. Xaviers MUMBAI
Amity University, Noida
Christ University, Bangalore