One of the very first things you need to do is stop talking about "helping" with the DCs and the housework.
My teenage DCs "help" me do stuff in the house, outside of their normal jobs.
My DH however is an adult who understands that in order for a house to run smoothly xyz has to be done. So he does it. Not to "help" me, because it's not my job, but because we live together and stuff has to be done.
He doesn't ask me, can I do this, what shall I do, do you want me to help? He just comes home and loads the dishwasher or takes the laundry out of the drier and folds it or cooks the dinner or does the washing up.
That's what you need to do. Don't ask or wait to be told, just do it.
And I will also say this. I work full time and I am also studying for my degree. I am shattered. Every single night. And I have teenagers and a DH that does at least half the housework, all of the school pick ups, and 75% of ferrying 3 DCs to different activities.
Your poor Dw. I can't imagine studying, working and doing all the childcare and housework. She must be in bits. And you wonder why her sex drive has disappeared?