I've got a '95 GS-R & I can't follow your description of the 'black box'. I can't think of anything down there to fit the description.

When my water pump leaked, the coolant ran down & dripped off the oil pan bolts near the crank pulley. Almost made it look like it was leaking out from where the crank comes thru the lower timing cover. Obviously, I knew there wasn't any coolant down there, but the water pump is halfway up the engine on that side.