Information Technology

Keep one thing in mind, you don't need college for learning how to create games. It involves the use of logic and better understanding of programming language (Java if you consider Android as your platform similarly Objective C for IOS and C+ for Windows OS)
Aiga - Institute for Gaming & Animation Bangalore India
Zee Institute of Creative Arts - Hyderabad:- is one of the prestigious institute for education located at Hyderabad. Animaster Academy
Hope this helps you. Be free to share any problem u have. All the best for your bright future!

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.

Yes, you are eligible for BCA after your PUC commerce.

Usually, courses like BCA and B.Sc. IT require 12th with Mathematics. Few institutes also enroll just Science students. If you have not studied maths in 12th, then few institutes have provision for it too. You need to checkout the colleges where you are planning to apply. You will get a much better idea then.
All the best.

Microsoft has a lot of courses and resources online. Checkout Microsoft's Virtual Academy (MVA). You can do free courses from them. In order to give certification exams, you need to find a Microsoft test center or vendor near you and get more details. But, if you are planning to learn online then start with MVA.