Hi,
Nice find! What are you going to do with the dead SE/30? It might be a good parts machine, assuming the battery acid didn't come in contact with other components beside the logic board (at the very least, the case is good for something, right?)
The Classic II on the other hand, sounds more likely to make a recovery. A small rectangle on the screen could be a failing power supply, no?
Did all those things cost you some, or were they free?
c