Aquarela do Brasil. The version used in the trailer is from Michael Kamen's soundtrack to Terry Gilliam's "Brazil" (1985)
In short, no. However, the director has admitted to having watched Short Circuit before and acknowledges that it may have subconsciously influenced the design of WALL-E. His body was designed for the eyes to show emotions, tank like treads so he can handle all terrains, and a body with the ability to retract his head and limbs like a turtle.
r43871