BCA

According to last year's cut-off it was not possible. Wait for this year's list.

There are the process for the admission is that.
You have your original 12th mark sheet, leaving certificate,if you belong to caste then have a duplicate copy of this, and basic entrance exam held by the college.

No, only computer is compulsory.

Not tough at all. You can pass it very easily.

Yes, maths is compulsory.
BCA eligibility: PCM at inter/+2 level.

Jamia Hamdard University offers full-time B.Tech, BBA BCA B.Com and B.A. Courses at UG level. 50% marks in 10+2 (PCM) is the minimum eligibility criteria for B.Tech and 10+2 in any subject combination is required for B.A. BBA BCA and B.Com courses. Rank in JEE Main is required to secure admission in B.Tech while admission to other courses is based on merit in the last qualifying examination followed by an Interview.

Hi Ankit. There are many colleges who provide direct admission. Choose the best suitable college for yourself and ask directly to the institute. List of some BCA colleges in Delhi : https://www.shiksha.com/it-software/colleges/bca-colleges-delhi-ncr.

Hi Ankit. Find the most suitable college for yourself here :
https://www.shiksha.com/it-software/colleges/bca-colleges-Dehradun.

Yes, you can consider Australia as one of the options after USA, since a Master of Information Technology graduate you may find careers in Information Technology in Australia, as a systems analyst, information technology consultant, information systems administrator, software and applications trainer, security engineer, telecommunications, business analyst, network administrator, database administrator, solutions architect, software developer, technology consultant, or security systems manager.
Good luck.

Both the courses that you mentioned are good. And you can do them irrespective of your stream. It is all matter of your interest, if you are interested in marketing and business you can go for BBA. Or if you are good at computers you can do BCA.