I honestly think your body is running on it's last resources. For you to lose weight you need to be healthy or your body just does not cooperate.
I have a friend who has an 18 year old Autistic son and an 8 year old still at home. She recently started a job where she works from midnight to 9am during the week and if she works on weekends she stays from midnight until 1pm the next afternoon. She has to be awake during the days to care for the kids too. She is barely functioning.
I have been watching her hardly take time to eat 5 bites of food at any meal and try to exercise and take care of herself.
If you are not getting the correct amount of sleep for your body to repair issues and fight off illnesses it will not let go of it's stored resources. You are asking your body to do even more when it is running on it's last resource.
Put it this way. Let's say you have a best friend who is a SAHM. She runs after kids all day, tries to get an hour or two nap in when the kids go down, does a pretty good job of managing them and taking care of them.
Since she is taking care of the kids all day she stays up each night cleaning house, doing dishes, laundry, mopping, washing windows, etc...
What would you tell her she needs to do first and foremost. She needs her 8 hours of sleep so she can function and her body does not stay in resource mode.
You cannot ask more of your body than it is already giving if you do not get you right amount of hours of sleep. If you are getting at least 6-7 hours of sleep per day then you might find that you can work on loosing weight too.
I would check how many carbohydrates I was eating per day and go from there. You need to get the rest to get your body back to it's best health then start dieting. I do not think dieting, cutting calories, makes people lose weight, I think that making sure you are eating healthier over all and taking care of your body makes the difference.
Cutting calories in a body that is operating at it's minimal resources is only going to starve the body, not make it healthier.