I suggest you go back to your jobcentre, (presumably you have put in a claim) and ask for a crisis loan to tied you over until you receive your benefit, you have to list things needed for the week such as food, toiletries etc, do not list bills as they do not seem to think this is urgent. However I am surprised at the length of time it has taken you to sign onto benefits you say you have been out of work for 6 months, yet have not received any benefits. Also are you living a home with family or on your own as benefit holders can also get grants (search online for grants towards electricity and gas bills), they do take some time to sort out, and you do need to fill in a form, but they do pay a considerable amount towards these bills and can also help you with essential equipment such as a fridge you may need. I agree about adjusting your CV, also you can ask at the job center for the back to work schemes for people in similar situations as yours. However I suggest you sort the Crisis loan out first, it wont be a huge amount, but it will help you feel better so that you can focus on tackling the next step.
Also the job centre can give you one off payments towards a suit and shoes for that all important impression at the interview. Practise interviewing skills on-line if you can, and try not to get bogged down by any interview rejections see them as practicals for the "Big" interview. The more you attend the more confident you will become. As a sufferer from depression myself I know how locked in to your situation you can become, my suggestion is try to take long walks or some other form of phyusical activity as this really gives your morale a boost and helps you focus on your plan of action. Then you can list what your goals are for the day and tick off your achievements at the end of the day, this will also help you feel better. You will soon be back on the road to success and recovery! Chin up and keep smiling, your turn is just around