India

Yes, you can get admission for MBA in abroad. You have to appear for GMAT exam. India has the best quality of management colleges like:
1. IIMs.
2. FMS.
3. IIFT.
4. XLRI.
5. SIBM.
6. JBIMS.
7. SPJIMR.
8. MDI.
9. IITs.
10. IIFM, etc.
You need to appear for an entrance exams like CAT, XAT, IIFT or CMAT.
Best of luck.

You need to have Master's degree to pursue Ph.D. It is beneficial for you to pursue Ph.D from USA.

Yes, you can get admission in a decent college. You just need to score well in entrance exam.

You can check the below mentioned link:
https://www.shiksha.com/top-automobile-engineering-colleges-in-india-rankingpage-51-2-0-0-0
All the best.

Admissions are in process, kindly mention which course you are interested in. For details regarding the courses please contact our toll free number 1800-200-4726 or mail us your inquiry at enquiry@isbm.org.in

IIFT offer MBA in international business. IIFT, New Delhi is the best B-School in India for specialization in international business. It has excellent faculty, facilities, placement record, alumni network and brand image.

I cannot recommend someone. First, you decide your country, then select your university and course based on your budget, duration, part-time job opportunities and stay back options. then, look for a consultant who represents that university.