Hi Angelina - Your situation with work, driving and the whole stupid mixed up benefits system seem all too familiar!!
As has already been said - moving out and living with your boyfriend
does seem like the most logical answer. I think you have to wait six weeks before being eligable for jobseekers - would you be able to cope for that long?? Surely, there must be some sort of policy in place for if you can't complete a qualification due to ill health? Why does your befefit stop in a couple of weeks - is it because your sick note runs out, or have they put a date on it? (Sorry, lots of questions!)
I have recently started back doing bank work in a residential home (it sounds like your line of work is similar?) This allows me to still claim ESA but also be working towards getting back to work full time... I can really only manage one night shift a week and the whole 'office politics' things just becomes too much to bear sometimes

BUT... I have the assurances that 1. I am not 'scrounging' (Which, no matter how many people tell you that you are not, point out that you are ill and unable to work etc... still niggles away. I have always worked and like you would
love to be able to be working full time and bringing in a decent wage!) and 2. I am only there once a week... When the shift finishes, I can come home and crawl into bed and hide for days if I have to!! I have done the shift and I will be paid for it and it has been a step forward!
All of recovering is about tiny steps. The fact that your work are putting pressure onto you (either directly or indirectly) can't be helping and the worry and uncertainty of where to live
definetly cant be! You need to focus on
you - it sounds like your boyfriend is a huge support, so let him support you - if it means him working overtime and he is 'happy' to for a little while, then accept that! It will give you time to get a little bit stronger and be able to deal with one thing at a time - otherwise, what is the alternative?? You carry on getting worse and then he will either lose you or have to work overtime for
so much longer because you have got yourself down so low with worry and stress that it will take an age for you to recover!
Sending big hugs lovely - it does get better! But you are not well, so focus on getting better!!

xx