Dual

Business English
Business Mathematics
Principles of Micro Economics
Principles of Financial Accounting
Fundamentals of Information Technology
Elements of Management
Enrichment Course
Principles of Macro Economic
Company Accounts
Logic & Critical Thinking
Introduction to Indian Society
Introduction to Indian Business Environment
Government & Business
Introduction to Business Statistics
Cost & Management Accounting
Oral Communication in Business
Managerial Skills

Following are the best options for you:
Vivekanand Institute of Hotel & Tourism Management
Saurashtra University
Marwadi Education Foundation's Group of Institutions (MEFGI)
TimesPro Post Graduate Diploma in Banking Management
RK University (RKU)
Atmiya Institute of Technology and Science (AITS-Rajkot)

MA in English, Literature, Linguistics.
These are all quite confusing, MA in English and MA Literature are all about mixed subjects like English Grammar, World and Indian Literature from 15th to modern century.
Linguistics deals with the Grammar part and depths of any language.

DU, BHU, AMU, etc. are the top most colleges to pursue graduation or Master's degree.

MBA stands for Masters in Business Administration which is a post graduation degree. An Integrated degree will give you two degrees i.e, BBA and MBA from the same university/college/institution. Whereas, a non-integrated will have separate courses on BBA and MBA.

Integrated MBA ( BBA-MBA or B.Tech-MBA etc) are not the right option because you will miss opportunities to do MBA from top B-Schools. Student get real value for money if MBA is fine from any of the top 30 B-Schools or International B-Schools. However, if you are keen in doing integrated MBA you must do proper due diligence of university and its integrated MBA program. IPM program offered by IIM Indore is the best option for integrated MBA.

Total intake for this programme approximately 120 in Amity University, Noida.
All the Best!!

Dear
Yes, you can pursue 2 different programme from 2 different universities in 2 different study mode regular and Distance.
But maintain your time management.
All the best.