Degree

The Maulana Azad University of Engineering is a decent university.

No, you will need to have a Bachelors degree to fulfill the eligibility criteria.

You can go for architecture. It is of 5 years course.

Yes you're. You should score good marks in the entrance exams which ever you take, and give them a good impression about you. And also the way you write your application letter matters. Considering all these few universities might accept it few may not. But you need to have good scores in the entrances exams which you take.

Hi Hardik,
It's okay. Your board exams will get over by the end of March I presume. After that you can still take up the IELTS exam. The results of it will come out in just two weeks. After that you can easily apply to the university of your choice. I would suggest you to select the University now itself as sometimes the seats might get filled up quickly depending upon the course.
All the best.

Normally, they don't look into it unless your University is exceptionally good. They mainly look for your performance in academics, your SOP etc. Also, if you want to be sure about it, try emailing the University directly.
All the best.

Of course, PGDM degree is valid after 4 years. Lots of students are enrolling for PGDM course these days. It has good job prospects too. Feel confident and go ahead and apply. All the best.