Hi ohdear. I hope you are feeling a little better this morning. When you are very depressed I know it is also really hard to motivate yourself to do anything except sort of go through the motions of each day, so everything builds up and it all becomes a vicious circle, each problem piling on top of the last and you feel paralysed by it all, I bet. But you can get help.
It might sound fatuous but writing it all down really can help as a place to start. Even if you think the list is going to be as long as your arm, write down all that is bothering you, point by point. Then you can start to deal with it. There will be stuff on that list that really does need dealing with, and soon, stuff that can be dealt with later and stuff that, in all honesty, you can probably do very little about at the moment.
The please contact the CAB and the Debt Advisory people - they are there to help and without wanting to sound flippant will have seen it all and will know how to get you the help you need. I would go and talk to your GP again too and see if he/she can suggest any further help. And Homestart can be brilliant - someone will come and look after your kids for a couple of hours so you can get things done or just have time to yourself properly.
You need support but you won't get it unless you ask for it! I can understand totally that you must feel exhausted and ground down, but I promise you that if you start taking small steps you will feel better and things will get better.
And finally, you are not a bad mother. No way! Please don't think that. If you didn't care you wouldn't be here. Keep posting - we will be here to support you (((())))