ILR in old Passport = BRP NTL rejected - Please help

[Fullmetalchik]

Hello,

I am hoping that someone on here can offer up any suggestions on my current situation. Please allow me to explain:

I am a US passport holder. I have lived in the UK since I was 7yrs (I'm nearly 40yrs old). Recently I was kicked off ESA and put onto JSA. I got offered a job but due to my passport that contains my visa being expired they refused to employ me until I got a valid one with stamp inside.
I got my valid passport but the stamp was not there. I contacted both US Embassy and Home Office. Was told to apply for No Time Limit Biometric Residence Permit. As that was the only way to transfer my visa.
I applied and it was rejected. Reason: insufficient documentation to prove I have lived in the UK for 31yrs (now 32yrs). I did everything they aaked of me and yet no dice.
Yesterday 2nd March 2018 I was told by my advisor at the Jobcentre that due to the fact I cannot prove Right to work, that my JSA will be suspended as no employer will employ me without it.

I am stuck! I have done everything I could over the past year to try and fix this but no one seems to have a clue about such a situation.

So I am now wondering, if my visa allows me to reside in the UK for good and thus allows me to claim benefits...what benefit could I get aside from JSA to make sure I am able to keep living??

Many thanks for your time.

Fullmetalchik

[vinny]

Gather as much evidence as you can concerning your residence in the UK. If you can show that you were granted ILR (i.e. Your ILR endorsement), then the caseworker may have the burden of proof to show that it had lapsed or was revoked.