Exam

Hello, with your ranking, it is possible to get a seat in BIT.
For more information on cut-off, you can refer to their website or the college predictors.
Try for it. Good luck.

No, it depends on the number of candidates who have chosen IET Lucknow and as almost 20 percent are chosen for lateral entry in each branch. Also, it has become the top college in Lucknow so it is easy to get IET.

Jaipuria Lucknow
Amity Noida
Galgotias
JSS
FIIB Delhi
JIMS Rohini
Christ University Bangalore.

https://www.shiksha.com/b-tech/resources/wbjee-college-predictor
Check the college you can get with your rank. All the best. Take admission in B.Pharma if you are really interested.

Anyone who has cracked Paper 2 is eligible for counselling.
However, you may not get your desired college as for decent colleges, the minimum board percentage required is 75%, It is 65% for OBC, ST and SC candidates.
Kindly keep that in mind.

No, in Tamil Nadu, the best college is NIT Trichy and Anna University. For both it is difficult as for NIT, the minimum marks are 75% in HSC and around 4000 all India rank for B.Arch. I would suggest a private college in Bangalore or Hyderabad.

https://www.shiksha.com/b-tech/resources/wbjee-college-predictor. Check the college you can get with your rank. All the best
If you get Thappar University, it is the best option you have.

There are very few seats for general in both the colleges. Also, in NIT, minimum board percentage should be 75%, so you will not get NIT.
For Sir JJ, the admissions are through 50% board + 50% your competitive scores. Your board percentage seems less, so the chances are very thin.