Working with EEA Family Permit before getting EEA2-CoA?

[Conejo]

Dear All,

I am Chilean, my wife is German. We are planning to go to the UK with an EEA Family Permit for me, no real problem with this. I got a job offer, my wife still does not find a job there. A couple of questions:

1) May I work immediately after my arrival ?
2) What about the National Insurance Number, May I get one using the EEA Family Permit?, Is it 100% required to work?, May I open a Bank account?
3) Assuming 1) is possible: After receiving the first payslip and after my wife get a private health insurance we are planning to apply to a EEA2 residence permit showing that she is exercising her treaty rights as a self-sufficient person (in the website of UK Borders states that the application to EEA2 is not compulsory, however I believe it is necessary and practical). For the EEA2 I will have to send my passport, May I work while waiting for the EEA2 certificate of application (CoA) that confirms I can work (not the residence card). I called to UK Borders and they told me that it can take up to 28 days, during this period I will have no passport and no document showing I am allowed to work, Is it right?.

How can I prove that I can work during the three initial month and while waiting for the EEA2-CoA (again not the residence card)?

The problem is: if I do not work, we will have not chance to prove that my wife is exercising her treaty rights in a solid way.

Thank you in advance for your answers.