BDS

Yes, it is possible. People from Sri Lanka usually pursue MBBS from abroad.

Dental is a better option than homeopathy because in dental, lots of options are available and one should have good practice in dental surgery. People are focusing on dental problems. Homeopathy is also good and holds a good future but less options are available.

Both options are decent, all you need to be is financially stable to first of all complete the course, then to establish your clinic.

What do you mean by Maharashtra? If it is Master in Healthcare Administration. Then, my second question is Why you did BDS?
Please do Masters in dental Science it has lots of options and opportunities.
If you are really inclined towards Administrative job and you if you want to work as Hospital or Healthcare unit Administrator, go ahead with Maharashtra.

You have very less chances but you can try in private colleges.

If you belong to SC, ST category then yes you can get a BDS seat in any college.