OK, first of all I have to say that your animated cube character is awesome!
Thanks a lot for the videos! That is the first I've heard where the options didn't react to clicking! I'll have to look into this a bit on my end and see if i can recreate this here. Can you tell me what version of Unity and what platform (mac/pc) you're using?
Also, it looks like from your scene that you should check the "Use UV Reversal" option under "GENERAL SETTINGS". sometimes uvs in Unity can get flipped (either when using image effects or various other reasons) and it's inconsistent over different platforms which is why I programmed in the option when needed. It seems like the reflective properties of your water are getting flipped and this option should help.
Actually, before I go there is one thing you could try... in your scene list click on the "SUIMONO_Module" object and then go up to the top menu under gameobject and click on Break Prefab Instance. Also do the same thing for the SUIMONO_Surface object in your scene. now try checking/unchecking some of those options... ?