Right - the BSM model is more applicable for pxing of options on equity instruments. It is also obvious if you examine the key variables i.e stock price, exercise price, dividend yield (to discount the stock price) etc. But note that BSM is used for European option, for American option the Binomial is more appropriate.
I work in derivatives (bank world leader on equity derivatives) and we use (ameliorated) B&S for both. Nice try tough