JEE Main

Yes, then also you can enter into good engineering colleges by giving their Individual Entrance Test. Some examples may be VIT Vellore, SRM Chennai.

Best books to prepare for JEE Mains are:
IIT JER Physics
Problems in Physics.

Yes, you can get any government college of your state. Be aware during the time of counseling. To get more insight about college, you can get please visit Shiksha JEE Mains college predictor app, here is the link-
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

No, your marks are less to get an NIT, but you can get other government college of your state. Stay aware about counseling. You can prefer Shiksha JEE Mains college predictor app to get more insight about college you can get.

NCERT books are best for JEE preparations.

If you want to do B.Sc, when you are preparing for JEE, then it is possible. But, when you go for engineering degree, you have to leave B.Sc and need to take TC from the college. This is because, a person can do only one regular degree at a time. If you take admission for B.Sc through distance learning mode, then you can do your Engineering as well as B.Sc degree simultaneously, because a person can do a regular and a distance learning concurrently.

Hello Satyam,
You can get admission in NIT, if cutoff is quite low, but you may get admission in BIT Mesra, DIT University, Sharda University, Chitkara University, and Chandigarh University with this rank, so you can try to get admission.

For getting into MIT, you need to clear MIT entrance examination.

Yes, there is a chance with this score.

Hello Harshit,
Please specify your category, so that I can suggest you better, however you may refer this link for more insights. https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
All the best.