Engineering

Yes, you stand a good chance, although you may not get it in old NITs but for new one you stand a good chance.
All the best.

It may not be considered as best stream though it is a good stream, it is not compulsory that you have any previous knowledge of computer Science as you will learn the subject from the very basics. If you are interested, you should opt for it. All the best.

NIT Bhopal is safe for any girl irrespective of her origin, plus it is a good college to be in. If you get a chance, do join it. All the best.

Chandigarh University provides a specialized course under name CSE Hons in collaboration with IBM for cyber security, where students are trained by IBM themselves.
A few course details that may help:
http://www.cuchd.in/IBM/

Yes, there is. CUSAT is the exam used by Chandigarh University to measure the capabilities of students joining their University. Though, it is not mandatory to give that exam if you have scored more than 60 percentage in your 10+2.

If you aren't of general category then you are qualified other wise you have to look for private college if don't want to drop a year. You have to qualify for one entrance exam in getting the admission. There are many college which admission on basis of 12 % like LPU, UPES, ICFAI and many other priv

Yes, you will get a cut-off probably around 100.