Distance/Correspondence

Yes, you can go for MA program even after graduating in BSc (PCM).
MA is a postgraduate academic degree that is awarded in a non-science subject. An MA is a 2-year degree program that can be done in subjects like English, Hindi and any regional or foreign language.
The basic eligibility criterion to be fulfilled by students for applying to MA course is completion Bachelors degree in any stream. Admission to the course is based on entrance exams along with merit obtained by students in Bachelors degree. However the eligibility may vary from university to university.
Eligibility for Master of Arts (MA)
Interested aspirants who wish to pursue Master of Arts degree must fulfill the below mentioned eligibility criteria:
Pass with a minimum of 55% aggregate marks at graduation level.English needs to be one of the mandatory subject at graduation level.Graduation must be done from a recognized college.Entrance Examination can be conducted by university as well.
Some of the colleges for pursuing MA are :
Lovely Professional University, JalandharLoyola College, ChennaiChrist University, BangaloreFergusson College, PuneStella Maris College, Chennai

Yes, IASE deemed university recognised by UGC and AICTE. So you can pursue your studies from the same. It is valid for the government jobs. Source: http://entrance-exam.net/forum/general-discussion/iase-deemed-university-valid-university-government-job-816666.html#ixzz691G695Z1
Yes, Distance education applicable and accepted in government. Organizations. The institute that you will select to pursue the course will have an impact on the acceptance of your degree. You can pursue the degree / Diploma / Certification from UGC, DEB & AIU approved university.
You can do your research on various institutes like MITSDE, NMIMS, IFIM, XLRI, IIM-C, and others before enrolling and arriving at a decision.