Puke, Headaches and Not Enough Sleep

I have closed the store for the past three nights in a row. Came home at 12:30 am the first night, 1:00 am the second night and was positive I would be home by 11:30 or earlier last night, but I didn't know the dishwasher was that slow. I came home at 11:50 pm. I was excited to get in bed close to midnight, excited about sleeping. I learned shortly after I arrived home that L had puked a half hour earlier. Hoping it was just a one time thing I climbed into bed. Before I could drift off to sleep she was crying. It wasn't a one time thing. She wanted to take a bath, I cleaned the bathtub out of the previously puked on clothes(I guess not everything had fit into the washer) and gave her a quick bath. I decided to move her into our room so she would be closer to us if she did it again so I blew up a small sleeping bag and mattress that the girls have, not knowing that it made an annoying squeaky sound when she rolled over. She puked one more time during the night, had two episodes of dirty undies due to diarrhea during the night. Spilled her cup of water I had given her and had to move to sleeping on a comforter on the floor. So my must needed sleep did not happen.
Fast forward to this morning I was trying to sleep in a little, after changing the boy's diaper and giving him his cup of milk I gave the girls permission to put on movie and layed back in bed, again before drifting asleep I heard the dreaded "N threw up all over the living room!". Great. Cleaned it up, made breakfast for myself, gave N some toast because he wanted food. Puke again. Bad idea. After that he was demanding more food, and cups of juice and milk but I refuse to give him anything more than water. Poor guy. I hope M doesn't get it too but we all know she is probably next. All I want is sleep but should I even attempt it?