Exam

You can take admission in your local college. Even some college in Bengal allows you even if your JEEP rank is low.

There is some possibility of getting NIT. But, for good NIT, you have to compromise for branch. Rank goes up to 30000 for general category for NITs. So, keep good hopes.

You can go for Sinhgad Institutes, AISSMS and JSPM.

Well, there might be chance, if you have already filled up the form considering your main score.
Also, if your class 12th percent is above 90, then you should definitely try out.

You can get in through COMEDK and management quota also, apart from KCET.

If you are getting a good college, then you might consider computer science branch, but only if you have interest in it. Otherwise, you may get bored.
Even mechanical and civil branch is core branch and you should consider it.
Well, it totally depends on your choice.

There is no passing marks in CAT. But, there is cutoff percentile from college to college. IIMs have cutoff of 90 percentile, where as other good private B-schools demand percentile above 70.

IMS-Mumbai has a knowledgeable faculty.

Yes, it is a good option, provided your graduation classes is not taking major portion of your time.

Try for the private ones like BVP, Indore Institute of Law, UPES and ICFAI, as the chances to get government colleges is almost negligible. Good Luck.