UGC

Why not you can apply for it and get admission.

https://www.shiksha.com/mba/colleges/distance-correspondence-mba-colleges-Kolkata
You may find one from this list.

Yes, As per the articles, I have seen that Madurai Kamraj University is UGC, Delhi approved but for distance learning courses and for other than distance learning courses, I have doubt about that.

No, General Knowledge questions won't be asked in the exam but general aptitude might come in the exam and you must have proper practice for that and if you have solved even some of the logical reasoning questions then I am pretty sure that you would nail it. Best of luck.

Yes, it's basically affiliated with AKTU but I will not prefer anyone to pursue civil from such colleges rather try some good colleges and still if you want you can but I am suggesting you as per reviews that I used to get from my friends studying there.

No, your University must be UGC approved if you want to get good placements.

Yes, this course is approved by UGC and NAAC.

Is DY Patil University UGC approved?
Yes, Dr. D Y Patil Vidyapeeth is recognized by the UGC under Section 3 of the University Grants Commission, Act, 1956 and Government of India.

Important dates for UGC NET are provided in this link. https://www.shiksha.com/exams/ugc-net-exam-dates.