When the engine is completed, Please heat a bottom face of the can cylinder with a candle. When the face is fully heated, rotate the crank shaft with your hand. Does the engine start to move?
There are two important points to move model Stirling engines. One is a perfect seal of the air in the engine. Another is low friction of the mechanical parts. If your engine does not move, check these points. Does the air leak from the hole of the diaphragm ? Does the wood piston touch the cylinder?