Am I eligible to pursue MS in Computer Science from USA after completing BCA from India? How to get admission in the same?

I am not 100% sure but foreign universities doesn't consider BCA as an engineering course. I believe only B.Tech students can only pursue their MS in Computers from the US. BCA holds less value in the US. Although, you should consider talking with that university to clear the doubts.

Yes, but you should always email the universities before applying. BCA is a 3-year program and many universities in the US do not accept the three-year degree course. They require four-year Bachelor's degree or equivalent. Secondly, they will also check the academic requirements and will ask for you