B.Ed

I do not have idea about B. K. Institute of Technology for B.Ed. As per my understanding, With a B.Ed. , you can work in educational settings such as schools, education departments, coaching centers, education consultancies, private tutoring centers, etc. You might start your own coaching institutes where you can provide students lessons in addition to teaching in schools. The Bachelor of Education is a four-year honours degree, which prepares students for teaching careers in either the Primary or Post-Primary sectors. There are many Universities & colleges in Punjab/ Haryana that offers B.Ed. Course. For this course, I would suggest searching for the best University on the basis of Ranking, education, placements, academics, etc. Some of the best colleges and universities are-
University of Delhi
Guru Gobind Singh Indraprashta University
Jamia Milia Islamia University
Geeta University
GD Goenka University
Lady shri Ram college for women- New Delhi
SGT University
Rabindranath Tagore University, Bhopal
Geeta University is one of the best choices indeed. It provides for multiple industrial exposures, live projects, an updated curriculum rigor and technology along with very good placements and personality development.

Yes, you are eligible to apply for government teacher job. You need to qualify one of given below exams to get a government job as a teacher:
CTET Central Teacher Eligibility Test:-The CTET is conducted by the Central Board of Secondary Education (CBSE) every year. It is a mandatory exam for those who wish to become teachers in schools that are affiliated with the CBSE. NET National Eligibility Test: - NET is conducted by the University Grants Commission (UGC). It is mandatory for those who wish to teach at the collegiate level. CSIR UGC NET CSIR UGC NET is conducted by the Council of Scientific and Industrial Research (CSIR). It is mandatory for those who wish to teach at the collegiate level. TET (Teacher Eligibility Test):-TET is conducted by both state and central governments in order to recruit teachers for government schools. It is mandatory for those who wish to become teachers. KVS Exam (Kendriya Vidyalaya Sangathan)-: KVS Exam is conducted by the Kendriya Vidyalaya Sangathan (KVS) every year. It is mandatory for those who wish to become teachers in KVS schools. Thus, these are some of the entrance exams which are required to be cleared in order to become a teacher in India. Apart from this, one also needs to have a Bachelors degree in education or any other relevant field. Those who wish to teach at the collegiate level need to clear NET or CSIR UGC NET. And finally, one also needs to clear the TET or any other state-level teaching eligibility test.