Wanting to Work with LCWRA

Hi all, I would appreciate any help whatsoever with my current circumstances.

I suffer with anxiety and depression. I've not worked since 2010 due to this. 3 years ago, my marriage ended and I had to move in with my folks. I have a child, who lives with their mother, but I want to be more involved. I get PIP Daily Living at Enhanced Rate and LCWRA.
Because I fought the council for 2 years and got nowhere on medical grounds - (they claim I'm adequately housed) I can't afford to get my own place as the benefits I'm on won't cover rent, bills and such.
So, I want to try my hand at going back to work in a part time, limited hours job.
The job centre were useless and pointed me in the direction of doing a course from home, to find something where I can work from home, doing like a data entry job.
I'm not good at concentrating for long periods (which is why I need a job with a max shift of 4hrs) but I'm worried that if I start applying for jobs and in the event I am successful the DWP will say I'm no longer anxious around people and I'm working, so they'll take my LCWRA off of me. I feel trapped as I can't manage many hours due to poor concentration and anxiety, but I can't afford to lose my benefit, as I would lose too much a month and not be able to survive.

I would be very appreciative of any support or advice if anyone has any to offer.

Take care everyone.

Thank You, David.

The "service issue" option has been removed, so I can only send it to the work coach for now.
I greatly appreciate your help and advice.

Take care and thank you again

Strange. I spoke to a contact on journal and they have given me a number to call and request a DEA tomorrow morning.

Thank you so much. I had no idea a DEA was a thing. Nobody from UC told me that. They got me an appointment with a standard work coach and he never recommended contacting a DEA, perhaps he didn't know they existed? It's hard enough as it is trying to find someone to help who understands the limitations we face.

Thanks again, David. So much appreciated.