As in, she grabbed all the plates they wanted for them, or she literally grabbed all of the plates for them? Or both?
The Japanese doesn't indicate if it's every single plate, or just the ones they wanted (It just says 'all/every'. But contextually, it's probably the former.
It won't open...The sushi is getting away!If you hold it here and lift it up, it'll open, see?Opened up!Yay! This is my first time coming to a conveyor sushi place!In the end, Zuikaku grabbed all the plates for them.The plates have lids on them...