Colleges in Karnataka

MVJ College of Engineering is affiliated do it AICTE.
Faculty on a scale of 10 could be rated around 7.
Though they lack experience in teaching S4 syllabus of VTU it is comfortable enough they have adapted NBA accreditation policies which enables to know the course outcome with the feedback system in

You can pursue BA in psychology if you have completed 10+2 from an recognized board. You can even check on the college website to know if the admissions are still open are closed for this year.

Presidency College will be a better choice.

Definitely I would suggest you Acharya Bangalore B-School in terms of infrastructure, experienced faculty, industry exposure and placements.

Yes, you can get admission in ABBS but under Government quota.As I am not sure, below I am sharing ABBS link, you can contact to admission department:
http://www.acharyabbs.ac.in/

Yes there is dress code in ABBS. College itself will give you uniform.

BMS is an autonomous college affiliated to Vishveshwaraya Technical University.This college offers quality education. BMS college of engineering is one of the famous colleges in Karnataka and in Bangalore. The college does not offer dual specialization. You can only take one specialization at a time

MS Ramaiah is one the top and prestigious institutions in India for any given course. MBA from MS Ramaiah has huge value compared to any colleges in Bangalore.