Which is the best government job that one can get after B.Ed private/ regular/ open? Which is the best university?

Yes, you can do B.Ed from a private college for the government job. Jaipur National University (https://www.jnujaipur.ac.in) is the top colleges in Jaipur for B.A. B.Ed. The four-year B.Ed. (Integrated) programme plays a major role in equipping the young aspirants planning to make a career as a teac

To get the best job I would suggest you go for higher degree. You can become a full-time teacher at government as well as private schools. You can go for an academic-related job at NCERT and SCERT.