Engineering Entrance Exam

Yes, for sure.
You can get private colleges. To have more no. of colleges and universities you can check JoSSA’s website and check out the last year’s opening and closing of CSE ranks and get the approximate overview that which one would be best suited for you.

Yes, you have fair chances of getting admission in Jalpaiguri govt. engineering college as you have an advantage of having ST category.
Your ST quota will help you to get that college.
All the best.

If this 19k is your general rank, then you will easily get IIIT
but if 19k is your OBC rank, then I am sorry to say but it will not help you to get into IIITs because your rank in OBC category is 19k, so your general rank is somewhere in 1 lakhs.

You can check Shiksha's college predictor.
Thank you.

Sorry to say but with 264000 rank in JEE Mains, there is no college available for you that can give admission on the basis of JEE Mains rank.

You are not eligible for JEE Advanced as you require minimum 75% for getting admission in IITs and NITs. You need to prepare very hard for JEE Mains as it is the only way for you to get admission in the best colleges of India. Good luck.

Yes, you can opt for it but I don’t think you would be getting a top branch in that college but surely you can get biomedical branch or of same type which is less opted by students but if this is required then you can go for it.

BITSAT cut off- 320 (approx)
BITSAT last list minimal marks- 295 (approx)
Manipal-110 and above
SRM- minimum rank you need is 8000.

Yes, go for the counselling of VIT as it will help you to get your desired branch and VITs is in top 8 colleges in India and has a very good position all over India.

Board marks are not used from this year to get into NITs. Check out the college predictor like Shiksha's college predictor or else check the josaa.nic.in link to know the opening and closing ranks of NITs, IIITs which will help you a lot.
Good luck.