Engineering

Yes, you can do every college have such kind if facilities and program.
Colleges have dedicated societies for such activities.
So, don't worry about this. Go and take admission there

There might be little chance to get CSE in LNMIIT but other than this, you can try for CCE which is also a good branch.

No, there will be no chance in LNMIIT but you can try for NIRMA. There might be a chance for you to get some branch.

LNMIIT, Jaipur is better for CSE but you had scored pretty good marks you can try for some other good NITs like NITs in Jaipur, Allahabad, Jabalpur you may not get CSE here but for other branches also they are extremely good college.

Use JEE Mains college predictor - https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

It is upto cut-off of this year. So, you have to wait for the result announcement and cut-off declaration. Only then, you come to know you are eligible or not. But as you said, you have been attempted 260 marks question according to me you should be eligible if you have been attended atleast 150 marks right question.
Best of luck.

Hello,
It does provide the B.Tech course in robotics and automation. Its total fees for 4 years is approximately. 7.24 lacs.

You may exercise for admission in following colleges.
1. Azad Institute of Engineering and Technology, Lucknow
2. Shri Ram Murti Smarak College of Engineering and Technology, Lucknow
3. Dr Ram Manohar Lohia Avadh University, Faizabad.