As coaches in our competitions we have no say over who goes first and last. New submit the entries and they return the work order to us. We do to know which apparatus our kids will start on so you can't work it that a gymnast goes first on beam for example even if they do put the kids in the order you give them because they might start on a different apparatus.
Generally the judge will go straight down the list for the first apparatus, them at the second apparatus they will put the kid who was first on the list last and go fro. The 2nd person, the 3rd apparatus will go from The 3rd person and so on.