BCA

College/university change after the first year is completely dependent on college and university norms, some university allow it and some won't plus you need to have good scores in the first year to apply for the same. For further details, contact the college authorities.

You can do the following:
Learn about mobile development either on Android or iOS. I recommend Android as users of Android are more than iOS especially in India and there is a need for some good Android developers in the industry. iOS is also good.
Learn about web development and you shall have some extra skills. They will teach you about web development in your degree but as I said they won't teach you everything. You'll learn a little about HTML, XHTML, PHP, Javascript, ASP. net and maybe more. You don't need to master every language just any one from PHP, Javascript or ASP. NET.

No, there is no physics in BCA. I'm studying BCA and I don't have physics.

You can choose from the colleges mentioned below :
https://www.shiksha.com/it-software/colleges/distance-correspondence-bca-colleges-mumbai

Dropping out of the college is not the solution as you must complete your graduation irrespective of whether you are good or not in the programming languages. Being a cricketer in India is kind of a fancy dream and it's quite difficult to survive financially if you don't make it to the top, you can have your passion for cricket, but not at the cost of your studies.

Master of arts and BCA does not have any correlation and if you want to opt for computers field, I would advise you to go for MCA and not BCA.

Check out the link below for colleges :
https://www.shiksha.com/it-software/colleges/bca-colleges-delhi-ncr?rf=filters&ct[]=10223&bc[]=33&ed[]=et_20&co[]=Public

If you are interested in programming then BCA is a better option. You may even opt for B.Sc in IT or CS, but BCA being a specialized course, it may have a higher value.
If you want to continue further, you may even opt for MCA after graduation. After MCA, you can apply for programming for any language of your preference or work as a BA.
You can continue with arts as a hobby alongside the technical education.
Good luck.