M.A

Eligibility criteria for Master of Arts (Public Administration) is a Bachelor's degree in any stream of minimum 3 years duration. You are eligible to seek admission in MA Public Administration based on your B.Tech degree. B.Tech is sufficent qualification for seeking Government job.

Every state has its ways of conducting exams for B.Ed and has percentage norms for it. Kindly check with the university in which you want admission.

With MA English you will be sectorial specific and MBA will equip you with wide range of career opportunities. You will be able to go for corporate s where you can fetch fat salary:
www.taxila.in

Please refer to the link mentioned below for the list of colleges which offer M.Sc through correspondence or distance:
https://www.shiksha.com/science/colleges/distance-correspondence-m-sc-colleges-india

Bangalore university
Karnataka Chithrakala Parishad College of Fine Arts

Yes, you can pursue Ph.D from Germany as the degree certificate provided by IGNOU is valid world wide.