Distance/Correspondence

Yes, you can choose any course from IGNOU. They provide correspondence courses.
Best of luck.

No, you have to complete your graduation once again.

No, after BA you cannot get into M.Com. You can go for MA.

No, there is no course available for distance learning programme in technical education, as it has been banned by the Supreme Court. The courses they are offering are not technical. Those are from non-technical field. Best of luck.

These are the top colleges:
Mewar Institute Of Management, Ghaziabad.
Institute of Management Education Group Of Colleges - [IME], Ghaziabad.
Vidyavati Mukand Lal Girls College, Ghaziabad.
Amity University, Noida.
Amity Centre for Elearning, Noida.
Amity College of Commerce & Finance - [ACCF], Noida.

You can explore the distance MBA of LPU that is Lovely Professional University as well, and you will be getting placed in companies even in your distance Education. So, give it a try once.

Check out the link below and get the details of the courses available :
https://www.shiksha.com/college/wisdom-school-of-management-mumbai-kalyan-east-37021

You can pursue in Amity University online, and take up MBA in Hospital Management. The fees will be around INR. 1,51,000, and if you have more than 60% marks in graduation, and if you can pay fees at one time additionally you will get certain discount.

I advice you to take up classroom traning (regular mode) as it will give you live interaction session and also you will get hands on experience