RE: Band Saw or Scroll Saw
A band saw will cut all of the curves you need. The difference is that with a scroll saw you can take one end of the blade loose and insert it into a starter hole to cut curves inside a piece of wood. With the band saw you can't do that. Usually you don't do the inside work on airplane parts, although I did do some fancy work to the inside of a fuselage former to leave material for a throttle cable.