M.S

You are eligible to do MBA or M.Sc/ PG Diploma in Hotel Management after B.Sc Statistics. There is no additional eligibility requirement for MBA. For candidates who have completed any degree other than Hotel Management during graduation in some institutes may require to enroll for a bridge program of few weeks duration prior to the commencement of the Masters program in Hotel management.

I am not quite sure, but I think most graduate programs in Germany are offered in English. And, if the medium is English, you need not require test for German.

Your UG score should be 2.3 or lower out of 6, it means over 75% marks in Bachelor degree, with minimum 6 band in IELTS or 79 in TOEFL. If your UG score is lower than 75%, try for GRE for profile boost.

Yes, you can, but after completion your MS, first you come back to India, then you are eligible for US working visa. But, it is not an easy process and rejection chances are high, so after your MS, try for some jobs in France.
All the best.

You can stay for 24 months. You can check US immigration official website. MS international healthcare management is not a STEM subject. It is a management degree for health professionals. Subjects like: Health engineering, animal health, etc. are STEM subjects.

Germany is a country, where technological fields are booming and with quality because they always choose best for their need, so when they choose a foreigner, they first attract by him/her academic record. So, it is definitely tough to get a chance there, but never lose hope because you are an automobile engineer and automobile industries are expand in Germany every day.
You have a chance, so you can choose German taught courses instead of English taught courses, then you can get admission there and it will also help you to get a job there. Extra-curricular activities, projects will also help you.
All the best.

Chowan University is in US. It is a decent university for UG programs. Concordia University is located in Canada and a well-known university.

You can follow the ranking of universities by QS ranking or TIMES ranking. You will get all the information.
All the best.

Yes, you can pursue MS from UK. You can get many job opportunities after completing the same.