You can most certainly run a tank with only a Protein skimmer and LR and LS, it works very well for a lot of people.
I have always been a fan of the "if it ain't broke don't fix it" idea. Set it up see how things are going.
Do you have any powerheads in the tank for circulation. If not that is something that would be beneficial.
At some point you may want to add a way to run water through a bag of carbon, A small cannister filter, or a Fluidized bed filter are the best ways to do that.
A FUGE, is short for refugium, this is a seperate tank (conected to the main tank) that many people use for natural filtration, they put macro algae in the tank, the algea aborbs many of the bad or excess nutrients in the tank, and grows, then you remove some of the algae and in doing so remove the nutrients from the tank.