As well as the Jobcentre, draw his attention to this organisation:
FiftyOn
for job vacancies around the UK and advice on health, finance, career change, cv writing, self-employment, openings for voluntary work as a way of (re)gaining experience and confidence, and much more - all geared to people 50 +

Unfortunately, I don't think any job or life situation can ever be guaranteed "stress-free" - but a lot of it is down to the person, not the actual job or situation itself, and is therefore in his control, if he learns to see it that way. It sounds good that he says he wants to get his life together - because in the end, only he can.

He is fortunate to have someone wanting to help him as you are - but do take care of yourself, too. When helping someone with depression in this situation, it is very easy for the helper to get sucked in and taken up and down on an exhausting (and often fruitless) roller coaster ride (I speak from experience here !!) You need to set limits.

All good wishes to you both !

- jeanie