Shri Vaishnav Institute of Technology and Science

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Use this link to predict your admission in that particular college for CS branch. The predictor would use past data to give out an approximate answer it your query. But the data may change every year so beware of that.

Hello, yes you are eligible for this course.

Talking about cut off, it is a pity high and depends on college, university prestige and ranking. In case of lateral entry, the seats are very low and candidates are many. So, they have to score good rank to achieve it.

I think for that you have to give the entrance exam SVET and then, you can the college according to the marks you got in that exam or JEE.
You can take direct admission but I am not sure whether you will get CS or any other branch.
But yes, you can.

Yes, surely.
There is no issue in the admission process but you have to give one affidavit regarding that and that is the norm.
So, you can easily take admission in the college.

Hello,
You can input the details in the below link to find out which colleges you can get:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=connect&utm_medium=CR_JEECP&utm_campaign=6375912
Accordingly, you can take the decision.

Hello,
Here I want to suggest you the Shiksha College Predictor. I have mentioned the link below for this:
https://www.google.co.in/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&ved=2ahUKEwjPs-iFqpTcAhWMRY8KHariB-kQFjAAegQIBBAB&usg=AOvVaw1N9BzFtyUCP4JU-2UQHQ0H

Basically, it is similar to that of JEE Mains exam but at times for some questions, there is no negative marking. Moreover, the level of the exam is not that much hard as of Mains. So if you have concepts clear, you can crack the exam easily and get the desired result.

You can get admission with your marks through counseling.