Need advice on pursuing B.Ed after BCA without Mathematics and becoming a government school teacher

my_qualifications: Currently pursuing BCA (2024–2027). I did not study Mathematics after Class 10.

I'm considering becoming a government school Computer Science teacher in Delhi. I have a few questions and would appreciate guidance from anyone who has gone through this path.

1. Am I eligible for B.Ed after completing my BCA?

2. Which universities would you recommend (DU, GGSIPU, Jamia, Amity, etc.)?

3. Does not having Mathematics in Class 11–12 affect my eligibility for B.Ed or government teaching jobs?

4. Is BCA + B.Ed enough for TGT Computer Science, or is an MCA required?

5. How competitive are DSSSB/KVS Computer Science teacher recruitments?

6. If you are a government teacher, would you recommend this career over software engineering?

I'd really appreciate advice from B.Ed students, teachers, or anyone familiar with the Delhi government school recruitment process. Thank you!