Engineering

You will need to visit ieindia.org and contact their admission branch to know about these details. They will guide you according to your academics and location. But admission is usually delayed because of verification of documents.

TOEFL tests your English conversation skills. It is absolutely necessary because the university wants to know whether you will be able to understand what you are being taught.

You won't be able to pursue any course abroad unless you clear your backlog. I suggest clearing your backlogs first and then applying in your desired college.

I would suggest pursuing B.Tech because it has more opportunities and is overall better than BCA. But, you are eligible to pursue BCA and if you want you can pursue it through lateral entry.

For NIT, I would suggest scoring atleast more than 90% to be in safe zone. Mechanical is usually filled up fast.

Are you joking? You don't even want to give exam too. Have you seen someone who has did that and became an engineer? To dull it down for you, distance engineering is impossible. Whoever is telling you that it is possible is outright lying.

Hi,
Both are good courses to do. But, I'll suggest you to go for B.Tech, as B.Tech has more value than BCA. And, you can do MBA.

Hi,
Both are good courses to do. But, I'll suggest you to go for B.Tech, as B.Tech has more value than BCA. And, Salary is more in BCA+MCA. But, you can pursue MBA after B.Tech.

It is possible to pursue M.Sc in various subjects after B.Tech. But, the eligibility criteria is different for universities. It would be best to check with the university you are seeking admission in.