No, no. You are not a bad person or a bad parent or anything you are thinking.
You need to strategise and stop catastrophising.
I have so many questions, you are all in a muddle.
Are you renting now?
Have you put yourself on the housing list? Are your children at the age the council needs to offer their own rooms? Because if so, you are overcrowded and should get good priority.
Your debts can all be sorted, and being on a benefit is the very best time to sort them. I went to a church debt help group and they wrote to my debtors.
Basically you offer token payments to some, £1/month - ones that you can put to the back. So you will need to prioritise your debts. The person or place who got the CCJ may not get an enforcement order, especially as you do not own your home - again, you are in a good position not owning a home as there is very little they can do to you for non-payment.
You need to play the system here, which means getting all the help you can because of your status as a single parent on benefits. This is the BEST situation to be in whilst in debt because you are in a good position if you play your cards right to get a LOT of decent help.
Nothing like stepchange, only local organisations who will write for you.
They will ask for income and expenditure which includes all your expenses like clothing, school costs, food, nappies etc. etc. You can show a deficit or you can show very little to spare and you can get debts written off, part paid, and get decent payment plans.
You need to sit down and work out your plan. It will look something like this.
Priorities:
Housing - number one
Current bills
Debts
Then expand
Housing (which you are dealing with first)
get on housing list
meet with housing officer
contact local MP for help
etc. etc.
Current Bills
pay as they come in
Debts
prioritise them
a plan to pay each one, including visiting debt help.
Don't worry. You can totally get out of this type of situation. But feeling like you're a failure is just pointless and you don't have the option to give up because of your children. You just need to take it one day at a time, make a plan, and implement the plan. You are not in a unique situation. You are not a failure. You are just having a life experience.