Computer Science and Engineering

Just prepare thoroughly your 11th and 12th basics. Yes, it is a good college.

Yes you can get admission.

Following are the good university options for you:
Galgotias University
NIU
Amity University

Admissions for B.Tech depends on your in JEE Mains score. If you have a good rank, you can get admission in a government college or go try for a private one.

You can appear in GATE to seek a job in the public sector organisation. You can appear for competitive examination such as Indian Engineering services, Civil Services examination, PO, CDS, Asst Commandant ex for paramilitary forces, etc.

Yes, if you want to make your career in the IT industry then computer engineering is the best option for you. You should be good in programming. For that, join various programming language courses during your engineering like java, HTML, SQL, etc., as per your interest.

You can get admission through lateral entry. If you want to take admission in a good college, you need to qualify an entrance exam.

To become a programmer, you should choose B.Tech in CSE.