India

You must be aware that your NEET score is pretty low. It would be a bit difficult to get MBBS with this score. But you must look for private medical colleges that charge a fairly high amount of fee. Look for Bangalore (COMEDK), Maharashtra (DMER) and UP. There might be a possibility. Good luck.

Yes, your percentage is enough for getting admission in St.Xaviers College for BA.

The definition of better varies from person to person and is influenced by personal inclinations and ones strength. For example, some people might to go with regular stream like CS mechanical, electronics and some might go with not so common branches like robotics, petroleum and mining. Opt for the engineering branch that you love the most and are most passionate about and analyze the future work conditions, scope and growth prospects before taking admission.
You can also opt for psychometric test comprising of Aptitude, personality and career interest to clear confusion.

Yes, every university conducts entrance exam for BHM course in India.

Dear Nishu,
Clinical microbiology is one of the best fields in India and has good scope in R&D companies.
Delhi Paramedical and Management Institute, IPMT Delhi, Noble Institute of Medical Technology and Anand Institute of Medical Science are the best colleges. All the best for your future.

There are numerous government colleges in Maharashtra for engineering. You can participate in Maharashtra counselling process it will surely help you in selecting the college and be more specific about your career. For more details, you can go through the link below:
https://www.shiksha.com/b-tech/ranking/top-engineering-colleges-in-Maharashtra/44-2-114-0-0