What exactly is your question?
What permission do you currently have?
I am confused as to what your question is. Please elaborate,.
Unfortunately, although your children are British, you are the applicant. Unless you have the correct permission to be in the UK, you will not be eligible for any benefits.
At this stage, I would suggest that you chase the UK Home Office for a decision on your application.
I hope this helps. If so, kindly rate the answer and provide feedback.
If you have any further questions, please do not hesitate to ask.
If your landlord evicts you, you should be able to claim for emergency housing from your local council.
Yes even if you are subject to domestic violence.
I would suggest that you contact an organisation such as crossing bridged who provide outreach services. Further details can be found on the following link:
It would be difficult for me to comment without having sight of your file.