Distance

IMS will be the best option for you because they will provide you more and more knowledge about the MBA.

Yes you can pursue distance course in automobile, check out the link below for institutes :
https://engineering.shiksha.com/distance-diploma-in-automobile-engineering-in-bangalore-categorypage-2-57-612-0-0-278-106-2-0-none-1-0#cateSearchBlock

Kindly visit the link mentioned below:
http://goo.gl/uJ3y7g

No, you can not do it.

M.Sc in IT is a very good option after BCA, but it will benefit you if you have good knowledge of programming. M.Sc in IT is a practical course, and here you are talking about distance education. By doing this you may be able to get a degree, but may not get much of knowledge, so after M.Sc there is a possibility that you have to do some certification course to get a job.
While thinking about distance learning, I think that MBA in IT is more beneficial as compared to M.Sc IT.

You should pursue MBA through distance from IGNOU. IGNOU has a good brand value and is famous for its distance learning programs.

You first need to decide the name of the institute that you want to do pursue your MBA from. Then visit their website and check on the admission process for distance MBA program. Based on this, you can take further action.
Since you are employed in Delhi, a better option could be to pursue executive MBA / part time MBA from a Delhi based institute itself.

Dear,
Checkout with Aryavansh School of Business, ISPL Technologies, etc.
All the best.

Hi,
MBA is a practical course so it's always better to go for regular one.
Employer gives more weight to students from regular MBA, so their placements and salaries are good.
As you have written that you already have experience, so doing MBA will be added advantage for you. You can go for correspondence if you want.
But, it's better to do executive MBA, it's meant for working professionals and have more value than correspondence MBA.
I hope this helps.