MCA

Yes you are eligible for B.Ed from IGNOU.

It is totally dependent on your location where you are currently living. If you are living in Delhi NCR then there are lot of college in Delhi NCR which can give you this opportunity. Hope you like this answer.

Yes, you can get admission for MCA without giving the entrance exam by going for direct admission process.
the only requirements are that you should have already passed BCA or other equivalent examination.
for merit based direct admission you should have the specified minimum aggregate by the institut

Both are good options but the better one would be MBA. After MBA, you can get managerial level jobs. So, go for MBA rather than MCA if you want a good pay. Top colleges for MBA are:
- Iims
- Xaviers institute of management, Bhubaneswar
- S. P Jain Institute of Management & Research, Mumbai
- UPES, Dehra

Even after completing MCA if you are clueless about what to do in future, then there is no point in asking this question. Think of what interests you the most and then get into the same field.