It looks like you have pretty much everything you need, but you might consider:
99% isopropyl alcohol for releasing and cleaning the system (although the Lace Release you have is basically isopropyl + scent).
Glue for the frontal area (you might get a better result with glue at the front if all or part of your the hairline on your system is exposed).
An Alice band for positioning and holding the system in place while attaching - you can tape down certain parts of the system using 2 hands instead of 1.
Back2Natural colour depositing conditioner is good to help restore the colour in your system, as well as keep it soft and shiny.
I can't think of anything else right now.