expert in encryption mode (ex: AES)

I have a project, and one part of my project is about testing the Sbox encryption code that existed in AES algorithm(Rijndael S-box). I need to test any Sbox algorithm with a comprehensive report about the testing, all these parts must be included in the report: 1- how the sbox works? 2- how can test the sbox? Can any algorithm be tested? 3- which tools can we use to do the testing? 4- The most important question is How can we judge this sbox algorithm is stronger than others or not? and why? all the answers must be written in our opinion not copy and paste from any website. I need to finish this part in 3 days.