I think a lot of people here have issues with your cavalier approach to benefits the Canadian government very generously pays out. You have come to Canada, and worked just barely enough to qualify for EI, then gave birth. Then you worked the barest amount to qualify again, and gave birth again. You sent your children back to India and are now claiming parental benefits, while being out of status pending a possible renewal.I can’t work that’s it. Why are you asking that question??
Strictly speaking, everything you're doing may be within the letter of the law. But it shows a pattern of attempting to get every possible cent out of the Canadian government as possible. One of the eligibility criteria of the CCB is to live with the child - which is hard to do if the children are in India. We're not sure where you are, since you refuse to answer that part.
A visa officer reviewing your work permit application may refuse the application based on financial resources - Canada is under no obligation to give you a work permit if you 'need the EI to survive.' In fact, that would be grounds for returning you to the country.
What it seems is that you got status in Canada to give birth, and worked just barely enough to get EI coverage. It's like birth tourism, but to an extreme.