heytermite; Flowering quince is generally considered to be Chaenomeles Japonica most of which have red flowers and smallish fruit. There are many varieties.
Chinese quince used to be called Cydonia Sinensis (a separate specie) or Cydonia Oblonga. I believe Cydonia has been reclassified to Pseudocydonia. This species is known for having white or pinkish flowers and large fruit. Again there are several varieties.
As far as I know both flower on "last years" growth.