Computers & IT (Non-Engg)

Apart from IITs, here is the list of some best private colleges:
Lovely Professional University
Chandigarh University
KIIT, BBSR
Tula's Institute
DIET, Dehradun
VIT, Vellore.

You are definitely eligible for applying for B.Ed after completing B.Com and MCA course. For B.Ed, the minimum requirement is that you must be graduate. It does not matter from which course and which stream, and it will give you benefit of doing MCA. So, you need not to worry and can definitely apply.

Go through with the website link of Amrita School of Engineering located at Bangalore to get an idea of the programs and career scope https://www.shiksha.com/engineering/course/m-tech-in-embedded-systems-amrita-school-of-engineering-bengaluru-sarjapur-road-bangalore-249461?city=278&locality=202&fro=serp&pn=1&tn=10&ct=course<i=249461&ts=87075119.

You can pursue MCA because it requires graduation degree in any stream. So you are eligible for it.

Yes, you can pursue the course, DGDI: Program in Game Design and Integration. It is a certificate course for a full time duration of 1 year. The minimum eligibility is that the candidate must have passed 10+2 from a recognized board.

The general eligibility criteria to be eligible for applying for BCA course, you must have completed your Higher Secondary (+2) Examination or equivalent (Diploma degree), with minimum 50% marks in total, and also having Mathematics as subject in the qualifying examination. The criteria may vary depending on the college/ institute in which you wish to apply.

According to my views and experience, you can take BCA without Maths after class 12th, but you have to clear the entrance exam. After that I take admission for BCA, you have a bright future ahead.