D.K.
First, your mother has no obligation whatsoever to help. She has raised her kids and expecting her to donate 1-2 days a week is a huge imposition.
You husband has no obligation to HELP you. He does have an obligation to SHARE 50:50 in the family. That means doing 1/2 of the chores needed to keep the household running and 1/2 of the work that having a child entails.
You need to have a serious discussion with DH (not when you are angry) about how you are going to split the work in the future. It is of course better to have had this discussion prior to having had a child but we cannot go back in time. I would make a list of what work you (and he) do around the house (cooking, laundry, vacuuming, scheduling (this one is very important), yard work, taking care of the cars, etc, helping with homework). You then need to decide how to divvy this up.
You don't need to each do 1/2 of each thing but the total amount of work needs to be fair. For example, I don't mind laundry but I HATE to empty the dishwasher. We both cook and clean after meals. He/she who cooks doesn't have to clean up. We outsource (cleaning lady) the vacuuming and bathrooms.
If you quit your job, it will not get any better. You will now have 'no excuse' in his mind for not being a perfect homemaker and it certainly sounds like you will get even less respect. Plus you will lose the adult interaction you have with people who see you as a person in your own right, not solely as a mother or housewife.
If you are actually afraid of him and he refuses to pitch in, I would seriously consider divorce. And again, quitting your job will isolate you further with a man you are afraid of.