Distance/Correspondence

Be specific about the college.

Follow the below mentioned link:
https://www.shiksha.com/science/colleges/distance-correspondence-m-sc-colleges-india

Hey,
Here is the complete procedure for joining this university:
https://www.shiksha.com/university/andhra-university-visakhapatnam-2948/admission

Yes, distance degree is acceptable for MBA.

There is no such correspondence course for two months.

Yes, you can look up to universities like:
Dr. BR Ambedkar Open University
IGNOU.

BA in Psychology is an undergraduate level Bachelor's Degree program. Students who have passed 12th standard (any stream) are eligible to pursue this course. In simple terms, Psychology is the science of behavior and mind. This domain has decent scope and potential in India and abroad.
Good luck.

No, you can pursue one degree at a time. Or, you can pursue BCA+ MCA dual degree. Good luck.

No and on the bases of ranking hostel is allotted.