13 wk back pay

I have started to claim lwcra and it was backdated to the 10th Jan ( the day after I got out of prison and claimed UC) I didn't get a payment till December 17 as I was sent back to prison in may the 16th my UC claim was kept active as I was away 6 months and my rent was paid I got out on Nov 14 and went to the benefits office to claim again as I didn't know that my claim was active my first payment included lwrca which I didn't know about being awarded it on jan10/2025, my question is will I get my back pay and when prior to my UC claim in Jan 9th I had been on legacy benefits and claimed ESA and pip and also the ESA version of lwcra ,does anyone know if I will get any back pay and when if I will it