Identification of plants on a coin

https://en.numista.com/catalogue/pieces6569.html

on this coin, there are two branches, that now are identified as rice and cotton.
Neither is cotton and also I have many doubts about the rice.
Unfortunately, for me, it is difficult to identify correctly them.
For the flowered branch, a possibility may be plumeria (https://en.wikipedia.org/wiki/Plumeria) but I am not sure.
Could someone provide better identifications?
Thanks

rice (Oryza sativa Poaceae)
cotton (Gossypium arboreum Malvaceae) - that one with the flower