Distance/Correspondence B.A

Yes, you can. IGNOU and other open universities run bridge courses, so as to pursue Bachelor's degree. http://www.ignou.ac.in/ignou/aboutignou/school/soss/programmes/detail/145/2 click the link for more. There is no need at all for having class 11th and class 12th standard. Alternatively, pursue class 11th and class 12th standard via private mode or get admission in NIOS, then after pursue BA from distance or private mode.

Visit the below mentioned link for all the information:
https://www.shiksha.com/college/maharshi-dayanand-university-center-dwarka-dwarka-Delhi-32391.

It is indeed a distance learning course. Kindly refer this link for details https://www.shiksha.com/humanities-social-sciences/course/b-a-mahatma-gandhi-university-delhi-dwarka-179282

You cannot do two courses at a time as per the rules.

Click the link below for colleges that offer BA via distance education. https://bit.ly/2ARuT33.

Graduation is as per the age, so you can refer the websites of the college which you wish to go for. Then take any step.

For B.A. Honors IGNOU, is also a good choice for correspondence. You can also do from DU school of open learning. Regards.

What is your academic background? Please specify. Most colleges/institutes demand that candidate must have passed 10+2 or its equivalent from a recognized board.

Yes you can do BA correspondence from any college i.e. IGNOU, DU's open learning is also there or any other. Regards.