Masters

If you are looking for ONLY placement, then it may not be a good option. However, you can physically go and verify as I don't have sufficient information. I am suggesting you based on the location.

You can do MS in maths, eligibility is 50% in the degree. As for now, admission are closed but some private universities have seats left, you can apply there.

If you intend to migrate to Canada, then it makes sense to pursue PhD there. If you intend to return to India and work here then MBA in India is more relevant as the campus placement process will be an added advantage.
Job opportunities are a function of multiple factors and a good candidate is always able to seek employment.

IGNOU is a international reputation board. You can do anything as you want in it's degree.

Yes, you can do a MA in psychology after your B.Sc.