Help! Backdated lcwra

Awarded lcwra letter states 'You  were awarded  LCWRA  on  13-Feb-2020.   This means that  your  relevant  period  is  13-Feb2020  to  12-May-2020.    Your assessment  period  begins  on  the  8th  of  each  month.  This  means your LCWRA  award will  begin  to  be  paid  in  the  assessment  period  08-Jun-2020  to  07-Jul-2020.    I  have  also  reviewed  the  exceptions  to  the  relevant  period,  under regulation  28  of  Universal Credit Regulations  2013,  and  found  that  none  of  these  apply  to  your circumstances.' Does this mean i am due a backdated payment from the 8th June 2020? 
Help appreciated