BCA

Yes, you can take BCA. You are eligible for the same.
Good luck.

Please use JEE Mains college predictor it will give you the list of college as per your rank/ marks/ percentile
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&ved=2ahUKEwic9v7Y_aziAhUXEnIKHbvZBmAQFjAAegQIBRAB&usg=AOvVaw1N9BzFt

You should have completed your class 12th with good percentage to get admission for BCA in this college.
Good luck.

Please use college comparison tool to know more:
https://www.shiksha.com/resources/college-comparison

According to previous year cutoff, ,there is very less chance of getting the same.

Please use JEE Mains college predictor to know the chance of getting the college
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&ved=2ahUKEwj3xNeLyariAhVFVH0KHSMiBDwQFjAAegQIARAB&usg=AOvVaw1N9BzFtyUCP4JU-2UQHQ0H

BCA is a good option, but as you belongs to commerce so think about it properly. Have a look to the subjects because it is totally different. Then decide.

Check the scholarship eligibility and then compare that whether you are eligible or not, as simple as that.

Being a Graduate degree you can pursue, it in Chennai itself as many North Indian students are studying here and cost of Living is also cheaper to other states.

Place of study does not matter. If you want to a Computer Science Engineer then Pursue BE (Computer Science Engineering) - Four Years Duration Course. BCA is a Humanities Degree in Computer Applications which will gives you knowledge.