Honestly in the US telling your employer you just got evicted wouldnt help anything. It would be like great, now this guy is homeless, and they are probably thinking you have some pretty serious personal problems, which is shitty, but thats life in the USA. Is op in the US? I tried to find it but couldnt.
Im not defending this shit but just saying thats how it is, and its awful.
Op I feel for you, I posted a somewhat similar thread about having a job lined up, quitting my previous job, and having the job offer rescinded because of a background check. Im alright now, but it took 6 fucking months and I didnt have the luxury of unemployment. To me, if you have served your debt for whatever trouble you got into its completely insane that can keep you from getting a job, as it will just encourage recidivism.