I think the full name is/was the PlayStation-X, but the X got dropped off somewhere along the line and only hangs around in the abbreviated PSX form. I'm not sure exactly where the "-X" stopped being used, but it might have been during the time when the system went from being the intended Super Nintendo CD-Rom add-on it was planned as to the stand-alone machine it eventually turned into.
Well, for Wing Bowl, you need to qualify by performing an eating stunt (eating a certain amt. of food in a certain amt. of time). Basically how that works, is you have to call WIP, propose a stunt, and have it approved.