Computer Science and Engineering

None of the B.Tech batches have passed out so I wouldn't be at liberty to tell about the placements.

You have good rank with this rank. You can get Jadavpur University for CSE. Simply lock this option at time of counseling and after allotment, visit college and get admission.

It is INR 1,65,000 for all branches irrespective of rank.

Eligibility Criteria (Qualifying Exam)
Pass with 50% aggregate marks in class 10th (with Mathematics, Science and English)or equivalent.
For a candidate, who has not studied English as a subject, the condition of English may be waived off provided the candidate in his qualifying exam has studied in En

Yes, only Neotia University can give you CS with this rank.

The basic syllabus followed in all NIT is same.

There is no any admission charge, you have to pay annual fee.

Click on the link and watch the video till end.
After watching the video follow the steps as per describe in the video.
At the end you will be able to find the list of college that you may got on your rank basis.
https://youtu.be/hOlit6Un7l0

Check the below link for colleges you can expect at this rank-
https://www.shiksha.com/b-tech/resources/wbjee-college-predictor

These days, you need you upgrade yourself by updating, as you are CSE student and you are a student. You need to update yourself, and it is not necessary to buy costly phone just go for simple 4 g smart phones with 2 gb RAM that will be enough for you.