BCA

MCA has better career options than MBA in IT. It depends on your career goals also. MCA is purely a technical field and MBA is purely management course. Although in MBA IT, you would be given technical knowledge also but it will be theoretical. It's purely based on managing the IT infrastructure and IT management. MCA includes software development and testing, etc. which a pure technical course. Both the fields have equal opportunities but MCA is slightly better.

Check out the official link below for details:
http://www.npgc.in/assets/Syllabus/UG-BCA.pdf

Yes, you can. Check out the following link for more details:
https://www.shiksha.com/it-software/course/b-c-a-lateral-entry-direct-2nd-year-directorate-of-distance-education-madurai-kamaraj-university-287511

Hi,
Distance education is still eligible if you apply for private colleges or institutes but full time is required in public colleges.

Go through the link below for all the details:
https://www.shiksha.com/it-software/course/bachelor-of-computer-application-symbiosis-institute-of-computer-studies-and-research-model-colony-pune-166140

You must contact the college authorities for the exact information, check the link below for the contact details:
http://adcsd.in/contact

Previous year question papers will be the best help for you and your study should be concentrated around that only, try to judge the frequently asked topics through previous papers and prepare them first.