B.Tech Computer Science and Engineering

BCA is more professionally oriented; it prepares you for post-graduate or research work and also creates professional manpower for problem solving through application of computer Science at the interface of business and technology.
On the other hand, The B.Sc (CS) course mainly focuses on the mathematical and theoretical foundations of computing, rather than teaching specific technologies that may quickly become outdated.
According to me, you should go for BCA.

It's a branch of engineering called computer Science so essentially you need pcm for it first and may b comp. sc as a subject is added advantage. To get admission into b.tech, you need to appear for JEE main and other state entrance exams.

Refer predictor below for colleges :https://www.shiksha.com/college-predictor

Take up ECE as main and do part time courses in CS

I think America would be better option for you . choice is yours

information Technology (IT) based on only software. Computer Science & Engineering(CSE) based on Software and Hardware (both). that's the besic deference.

As you are a computer engineer therefore SAP functional modules may not be appropriate for you. You are advised to joining ABAB programming.

Its a new college and is developing. You can bargain a lot with them. What branch are you looking for ?

All subjects are same in all branches in first semester of B.Tech including physics, chemistry, mathematics etc.

Till now it is a good college ,you can go for it