Colleges in Ahmedabad

Yes, you can prepare for both simultaneously. As without sketching, the entrance will be difficult to clear.

Since you did B.Com as a distance learning course, I will suggest you work for some time so that you know the reality of the job market and the corporate world, instead directly jumping into an MBA college. This will provide much-needed perspective.
For predicting if you would get a call or not check using Shiksha Call Predictor.

NID offers multiple UG and PG courses. You have not indicated for which course are you seeking information. You may refer to following link for all information on Admission process at NID: http://admissions.nid.edu/

Hello Krupali, Nirma University provides MBA degree, in its full-time program. A university generally offers MBA, and not a PGDM/PGPM. Kindly visit this link for more details: http://www.nirmauni.ac.in/IMNU/AdmissiondetailsFT.

Yes. It's one of top institutions for Distance education.