Jadavpur University

Hi,
You would need a NATA score of 100-120 or JEE paper 2 score of 160-180/390 with a decent class 12th score to get admission in JU.
According to last year cut off,
2013: 1784-5489
2014: 861-4767
They also take admission on the basis of WBJEE rank.

Yes, you can do. Eligibility for M.A. : Candidate must be a graduate from a recognised university. Mandatory Course B.A. (Hons)
Candidate must have secured minimum 50% for General Category, 45% for PD/ Sports/ OBC-A/ OBC-B category and 40% for SC/ST category in Honours/ Major subjects.

Bachelor of Library course syllabus will be in English language. Yes, you need to attend classes as per the attendance required. For admission related detailed information, please click this link- https://www.shiksha.com/humanities-social-sciences/library-information-science/course/bachelor-of-libra

You can apply online with required information. Admission is based on the marks obtained in 10+2.

Yes, WBJEE is the only way to get admission in Jadavpur University.

For admission in mechanical engineering branch at Jadavpur University, you must target to secure a rank under 500 which equates to around 135 marks out of 200 in WBJEE.

Jadavpur University is one of the best colleges ranked in top 10 best colleges in India by NIRF. This college has the best faculty member, good placement record in previous few years and familiar environment. So, don't worry about this, prepare well and you will get this college.

Yes, you can take admission in Jadavpur University on the basis of JELET, check out the official link below:
http://www.jaduniv.edu.in/upload_files/scroll_info/1504181130.pdf.

Sorry to inform you lateral entry to JU is not possible. You need to give WBJEE and score high rank to get a chance in this university or else if you have a great political hold or related to any strong politician then you may stand a chance to get a seat in JU using the party source and quota.