Pune

Yes, it does. Apart from this college, I would like to provide you with the list of best M.Sc nursing colleges are as follows:
Bangalore Medical College of Research Institute (BMCRI)
Koshys College of Nursing
Dayanand Sagar Institutions
SB Group of Institutions
Padmashree Group of Institutions
M. S. Ramai

For B.A. In Pune:
1- Fergusson College
2- Symbiosis Society College of Arts and Commerce
3- St Mira College for Girls (Arts and Commerce)
Fergusson College is considered as the best college for arts, not only in Pune but all over in Maharashtra. JJ School of Arts is one of the best colleges for BFA in M

You can refer http://aimsinstitute.in/admission_details.html

For admission in arts stream you need to have passed 10+2 from a recognised university. There is no entrance exam for the same.

The following colleges can meet yours requirements.
1. Dr. D. Y. Patil Institute of Management & Research (DYPIMR), Pimpri, Pune
2. MIT School of Management, Pune
3. Indira Institute of Management, Pune.

Absolutely. MBA is the best option from DY Patil, Pune. A well-known and reputed group of colleges, which offering various under graduate and post graduate academic and professional courses.

SEED Technologies, Mind Scripts, Vision IT Technologies are the software training Institutes in Pune.

Evening/distance/online/part time engineering courses are not valid any more as per the latest supreme court verdict, hence would recommend you to join regular B.Tech course for better career prospects-
http://www.tribuneindia.com/news/nation/no-technical-education-through-correspondence-says-supreme

You may get admission in ASMs Institute of Business Management and Research with the above score.