B.Tech Ranking

I think u won't get government college. But try for jss akg or abes. A.

You must be asking about one particular college and seems to have typed incomplete question here. There is a process on Shiksha which will assist you to find a college as per your rank. This rank predictor compiles things for you:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Yes, you will get the colleges but not the top colleges. For more details, click on this link:
https://wbjeeb.nic.in/wbjeebcouns/orcr/PrevYearORCR.aspx
Here you will get all the information regarding all the colleges which are under WBJEE. Opening and closing ranks and branch-wise all the details are also available.

That is entirely your choice. B.Tech is a technical qualification, professional in nature and basic graduation programme in engineering technology. B.Sc. Is a graduate course and is a basic programme in Science stream. Of course B tech has more value but much depends upon your college/institute, your knowledge, aptitude and performance. Both programs lead to further post graduate courses which improve your knowledge and job chances. Regards.

No, there is a very less chance with this rank in any of these colleges.

https://www.shiksha.com/b-tech/resources/comedk-college-predictor
Please follow the link that I am sharing here. It will help you in getting a better college.
Good luck.