Child benefit questions

Dear members
I have got my ILR in Feb and my spouse got hers in March. I have applied for my child British registration on early March through MN1 (born in the UK) and still waiting for the result.
I assume I can apply for child benefit. Is that right?
There is a question about if I was subject to immigration control in the last 6 months? And then about the date?
What should I answer? I assume the answer is yes and then which date I should enter? The date I got my ILR or last visa?
Also, do I need to send a copy of my ILR BRP Card as the proof of residency? The form doesn't ask anything about my status or not asking for any documents to be sent.
Your help is much appreciated.

I assume I can apply for child benefit. Is that right?

Yes. You could have applied as soon as you got ILR.

There is a question about if I was subject to immigration control in the last 6 months? And then about the date?
What should I answer? I assume the answer is yes and then which date I should enter? The date I got my ILR or last visa?

It isn't a trick question. Answer Yes to the first question and put your ILR date for the second.

Thank you.
So, there is no need to send a copy of my BRP to prove that I am eligible to apply?