Distance

You may pursue B.Sc in MLT from IGNOU. For further details, please click on the link below:
http://www.ignou.ac.in/?q=ignou/aboutignou/school/cpms/programmes/detail/551/1

BCA through correspondence won't help you much in the long run, I would advise that you should go for regular BCA as it holds more value as compared to the correspondence BCA.

Yes, it is a good choice. It also helps in clearing other exams to apply for a government job.

It totally depends on the need, but if you are planning to pursue MBA then you can learn so many things related to the finance sector.

Yes, you are eligible. Minimum Master's degree is required with 55% marks.
For more information, click on the link.
https://www.shiksha.com/engineering/course/ph-d-wellborn-group-of-professional-studies-lucknow-206570

Fashion designing is a creative field and you can sharpen your skills under proven and expert teaching staff. Therefore, I am of the opinion distance education can not serve as a replacement of regular formal education particularly in the field of fashion designing. You are advised to seek admission in a good fashion designing institute to learn finer skills of fashion designing.

Yes, this is good only if you are working anywhere with your distance learning and are in your core field.

Hello Sudha,
If you want to take distance education in B Ed, better find out if your state is accepting this. Else, all your efforts will go waste.
However, the best option is to approach college in your place and see if they have afternoon classes. But my advice is to do a PG in engineering. Then you can teach in a government or any private engineering colleges.