Sit down with your wife, complete the debt remedy, then go and see the council and the job centre together.
Make all your decisions as a couple, that way you both know exactly what your plan of action is moving forwards. Also she will add a broader perspective to the problems you are both facing

At risk of sounding blunt/harsh, moping around worrying will acheive nothing, so get getting.
1. Sort the creditor items first, then you can put them on the back burner.
2. Go and see council housing officer/department.
3. Go to Job centre to sign on/see what support you are entitled to.
Steps 2 and 3 might need repeating a couple of times as I suspect how each place deals with you will probably have a bearing on what the other can do and vice versa.
In any case, this all needs to be done BEFORE you miss your rent.