Exam

You should score above 400 out of 600 to get admission in good government college.

You will definitely get IET-Lucknow. HBTI and MMM is no longer a part of UPTU.

Your rank should be under 12k to get admission in AKG or JSS for good branches CS or IT.

Semester papers are not difficult. But, yes sometimes checking of papers is done in very bad manner.

Yes, your rank is quite good and according to your rank you are eligible in getting best private colleges of AKTU like JSS, AKG, ABES EC, IMS. But, one thing I suggests, you that please fill good choices at the time of counselling, so that you may get best colleges of AKTU. Few best colleges are-
1)

JESNU merit rank list will be published by WBJEEB in the fourth week of June as per link https://www.google.co.in/amp/s/www.shiksha.com/b-tech/exams/amp/jesnu. It can come any time in this week.

Entrance date was May 5, 2018. Online registration closes in the month of April.

As such, there is no specific entrance exam for BBA. But, it depends on colleges, some take interviews or some colleges set their cut off, or some even take direct admissions. Please call and confirm with the college you are interested in.