India

Yes you can, try to apply for the NITs and also for the Spans might be that you can get a good SPA in the last round of the counselling.

Check out link below for college details :
https://www.shiksha.com/b-tech/ranking/top-engineering-colleges-in-Andhra-Pradesh-accepting-ap-eamcet/44-2-100-0-6490.

You can get all the related information by using https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

Please go through the link below:
https://www.shiksha.com/b-tech/ranking/top-engineering-colleges-in-Karnataka/44-2-106-0-0.

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.

For this,
You can use the below link to know the expected college you may get:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Well, you should use the below link:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

Yes, you can get a direct admission, just look for a best college and apply for further procedure. All the best for your future.