Germany

Germany has better options for universities and environment to study. I would recommend Germany would be the right place to study.

After BHMS you can go for higher education courses like MD (Homoeopathy), MD in (Homoeopathic) (Material Medical), MD (Homoeopathic) (Pediatrics), M.Sc courses like M.Sc (Endocrinology), M.Sc (Epidemiology), M.Sc (Regenerative Medicine), etc. are available for you. You can work as a homeopathic doctor or consultant in hospitals or health care centers. Research firms and Pharmaceutical firms are also in need of BHMS graduates.

https://www.universities.com/where-to-study/europe/germany/how-study-phd-germany
The above link will hopefully help you in getting information that you need.

After doing MBA many students opt for job since the job rates are high after the degree. Many companies in Germany give enough and more scope for those who have done MBA.

There are no particular universities in Germany for Homeopathy but you can do other courses.

No matter which part of the world you go, learning the language is always an asset. In your case, learning German will do much good. You may not have to be perfect in the language but even the basics will help you through.

Western University (Ontario) - 3 ME courses
University of Calgary - 3 ME courses
University of Alberta - 3 ME courses
Fanshawe College - 1 ME course
University of Dalhousie - 3 ME courses
University of Saskatchewan - 4 ME courses
University of Waterloo - 5 ME courses
University of Windsor - 2 ME courses
Queen's University - 3 ME courses
Here are some of the names of the universities and the number of coursers they provide.

University of Heidelberg
RWTH Aachen University
Lubeck Medical School
Written/Herdecke University
Munster University
Wurzburg University of Tubingen
University of Freiburg
Leipzig University
are some of the universities in Germany.

EEE will be great if there is a combination of MBA with it. However, it would be better if you are looking for career in engineering organization because your engineering knowledge will be utilized fully and it would also be easy for you to manage because of your understanding in that particular work. As long as there are industries or companies that deal with EEE the job scale will always be existing.

Yes you should be able to practice it.