Maths Spl

No, but you should learn some basics for your own improvement. There is no use of maths in generic engineering.

You are eligible to do BCA and MCA as you have maths in 10+2 to fulfil your dream of becoming a computer scientist. MCA is treated equivalent to B.Tech CS by Indian IT industry and you will be able to get a good developer job. After MCA, you can do M.Tech in CS by appearing in GATE.

There is no prediction which question is asked from which topics. You can only analyze the last few years question papers and find out the most important topics and tips.
JEE Advanced physics most important topic:
Mechanics
Electrodynamics
Modern Physics
Optics
Heat & Thermodynamics
SHM & Waves
Mathematics:
Matrix & Determinants
Coordinate Geometry
Derivatives, Differential
Integral Calculus
Trigonometry
Complex Numbers
Quadratic Equation

That really depends on the subject you opt to teach. If you are pursuing M.Ed, you should pursue a subject which you feel comfortable teaching. Since you have already chosen English and Maths as your subjects for B.Ed, you should select a subject in the same domain, so that you have in-depth knowledge of a particular subject and you can then pursue a teaching job in the same subject.

You will become a PGT (maths) teacher and will get a better salary package.

You can pursue BBA followed by MBA to get better career prospects.
Good luck.

No, you just need to have pass 10+2 with any subject.