Colleges in West Bengal

Yes, there is a scope of admission in metallurgy or civil Engineering in IIEST as per your stated rank.
But, CSE, IT, Mechanical, Electrical, is not possible as per previous Cutoff.
But, IIEST's mining and metallurgy is really good.
It has large scope of research and facilities in IIEST.

As per your marks, you cannot get admitted to the institutions you mentioned. But, as per previous year trends, you cannot get admitted into IIEST or BIT, Mesra.

Your marks are very less, so it is better you try any other career or other institution.
Saying frankly, you cannot get IIEST, Shibpur.

No, you need to complete LLB first.

You can check their official website:
http://www.caluniv.ac.in/admission/ba_llb_15_16_new.pdf