BCA

Yes, this college offers sports quota for this course.

Dear Vishwas,
Please find the below link to see courses in BCA and career prospects with other information about the course:
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/bca-bachelor-of-computer-applications-chp&ved=2ahUKEwjf_9z5lsPiAhUb8HMBHXY0A2QQFjAAegQIARAB&usg=AO

Hello Aditya,
You may refer to the link below for the list BCA colleges in Mumbai:
https://www.shiksha.com/it-software/colleges/bca-colleges-Mumbai-all
For Navi Mumbai:
https://www.shiksha.com/it-software/colleges/bca-colleges-navi-Mumbai

Here are the colleges:
1. College of Engineering, Pune.
2. Singhad Academy of Engineering.
3. Dr D.Y Patil College of Engineering.
4. Abhinav College of Engineering and Polytechnic.
Hope this helps.

No, you can't apply for direct admission in the second year of BCA. You have to start from the first year itself.
Good luck.

Global College of Management, IT and Commerce
PC Jabin Science College
Fatima Degree College
Oxford College.

Yes, you are eligible to get direct admission in the 2nd year of BCA.

Yes, you'll be eligible for government and private jobs after successfully completing your BCA.

Yes, you're eligible for admission into BCA. As you've scored 60% in +2 which is enough for getting admission into top colleges for BCA. So, select a college or university and seek admission. If you want to learn programming languages which you will be studying in your BCA course then you can check