B.A

Yes you are eligible for B.A. Vocational tourism management in the college of vocational studies you just have to apply for that college from their respective website and fill in the required information that they require.

Bachelor of vocational studies is a kind of a certificate course in which you will be getting a less opportunities and a less exposure of the subjects, but in the Bachelor of Arts you will be getting a permanent degree with the high values.

That is a very great rank in the entrance exam and yes you can get admission in Bhim Rao Ambedkar University.

To take admission in the University of Mumbai, you will have to fill out the form available on the university website and on the college website that you are aiming at and then they might conduct an interview.

You have to clear NEET and it also depends upon the category to which you belong.

Yes you can get admissions in some of the colleges and by the way it also depends upon the category in which you are in.
Some of the colleges of BHMS and BAMS are:
1. Uttranchal Ayurvedic College.
2. Uttrakhand Ayurveda College
3. Beehive college of advanced studies.
4. Doon ayurvedic.
5. Shivalik institute.

It will be quite hard for you to take admission in SD College for BA (Hons).

If you want to become an IAS officer then I think that doing graduation in BA would be a better option and it would be truly appreciable if you could take political science or history.