When you have bottled the Graff, collect ALL the cake in a few sanitized mason jars, and place in the fridge with the lids slightly cracked (they will build up pressure).
When you want to re-use it, just pitch about a quarter of the original cake; NOT all of it!.
If you leave it a few days, the liquid will separate. You should pour this off and just pitch the slurry.
If you pitch straight away, it will still be mixed; that's OK, but personally I would try and get most of the apple juice out of it.
There is no need to wash the yeast. Yes, as you get into this hobby and get fanatical about it, you will wash it, but for now, just straight pitch a quarter of the slurry. It will work fine, with no off flavors.
....... And S-04 is relatively cheap compared to other yeasts.