BPT

Yes, the hostel and mess fee is separate from the course fee.
Follow the brochure for more details. It is written there clearly.

Candidates wishing to pursue the course are needed to fulfil the minimum eligibility criteria listed below in order to apply for the course:
Higher Secondary (10+2) or equivalent qualification, completed from a recognized university, in the Science stream, with Physics, Chemistry and Biology as main subjects.
A minimum aggregate score of 50% or equivalent CGPA at the 10+2 level (45% for SC/ST/OBC candidates).
Hope this helps.

For general candidate 50 percent is required and for SC/ST 45 percent is required in various BPT entrances. For Gap year students, is same as newer. But, in CET (SVNIRTAR, NILD etc.) entrance maximum gap year is 3 years.

If you planning to go abroad, then why not pursue your Masters from any prestigious college abroad. On the other note there is no harm or demerit in pursuing your Masters from India if you are planning on going abroad in future. But, it would be better to pursue your Master's degree abroad in my opinion. All the best.

Both the courses in consideration are quite different in their individual aspects. So, taking in consideration I would suggest that BPT is a better course to pursue that BVHS. BPT has a wider scope and job prospect than BVHS. Furthermore Physiotherapy is one of the emerging sciences that has gained popularity in the recent times. So, BPT is definitely a better option. All the best.

So, according to me BCA is a very good course, because you will get to know about how the industry works in the field of computers and how you can do various types of calculations various types of coding in the field of BCA, so you will be getting a high exposure and you will be getting a hi skills with which you can achieve more in life and you can pursue your dreams.

In the recent times, BPT course has been withdrawn from the circular of courses available in any AIIMS throughout the country. So, you cannot apply to AIIMS.
All the best.

The fees for BPT is INR 1.49 Lakh.