What's that saying - messy house means happy kids. Or, some such thing. You are only human. You must have balance in your life which means taking care of you too. Don't be so hard on yourself. I am a full-time working Mom and no, everything does not get done in a day. Forgive yourself of things and lower your expectations. I am writing this while at work and thinking of the dirty dishes sitting in the sink right now.
If you're super tired every night right now because work is overwhelming, then allow yourself a break at home. Do only one chore when you come home, then give your time to your family for an hour and then to yourself. Everything else can wait.
If no one has any clothes to wear, do one load of laundry. I only break my laundry into three piles - lights, darks and linens. I wash all clothes (lights & darks) in cold water and wash linens in hot. That way I only ever have 3 loads of laundry to do. Don't worry about folding them once dry. Pull out the stuff that you don't want to be wrinkled and hang 'em over a chair until you have the energy to put everything away. Everyone can grab their clothes from the pile sitting on the table - at least it's clean.
Also, is everyone pitching in and doing their share of the work? The kids could separate all the clothes into light & dark piles. Heck, my 4 year old helps by bringing his laundry basket out of his room, putting all his clothes in the machine and pushing the button to start it (I put the soap in). While he's loading everything, I can be doing something else.
Dinner doesn't always have to be a major thing. On lazy nights, we have been known to cut up apples, grab a bunch of grapes & other fruit & veges, cheese, crackers, salami, hummus and french bread and have a picnic. I often buy the vege & fruit platters just for the ease of it on lazy nights.
The bottom line is, no, you don't have to do everything fully or perfectly every day. You do, however, have to have balance every day. Taking care of you should be worked into your 'chore' schedule. If it's time to take care of you and the dishes aren't done, then they can be worked into the schedule the next day. The only thing that should never come off that chore list on any given day is giving yourself time to just relax and be.