I think I may well put the cat among the pigeons here but here goes, you have looked at your past behaviours and know that you might have been to blame for a lot of things, you knowing that and accepting that does not mean the family have to say 'that's okay then, welcome back'. You have to work at it, and its hard work. Reading your post its all about your needs, your feelings and how they are letting you down. That to me shows you are still depressed, because there is only one person in a depressed persons world, you! You still need treatment for your depression, and at some point you will start to think things like 'I could help them with that' or 'I wonder how the parents are coping with their newborn' when the emphasis is less about you, and how you feel and what you need, then you will be recovering. Then you can start to build those bridges. Living or coping with someone with depression is soul destroying, it sucks the life out of you, your family are probably avoiding you to protect themselves, once you are well enough you will be a joy to be around. PS you can employ people to come in and help with your recuperation, don't put the responsibility on your family.