I did my BE in 2018. Am I eligible to apply for B.Ed?

Yes, obviously you can pursue B.Ed after completing your BE.

Of course, you can do B.Ed after B.E. This teaching course can be practically done after any graduation course with no restrictions whatsoever. As for admissions, you can either opt for the government (with the minimum amount of fees), the government. Aided/government. Sponsored (where fees will be