Vintage purple rabbit fur coat jacket Small or medium

Gorgeous vintage unlined purple rabbit fur coat purchased in NYC. Fur has shed on both arms but the arms are very long and can be trimmed. The top and the bottom hooks to close the coat are missing the circle it attaches to if you want to close the coat. Can easily be sewn back on. Measurements are in the pics but please let me know if I can provide any others. There is no size and it far from fits me anymore so I am not sure if it is a medium or small. Thanks for looking!