Given a Poisson model object, count.fit fits Poisson, negative binomial, zero-inflated Poisson, and zero-inflated negative binomial models to the data. It reports results of Vuong tests between the zero-inflated and non-zer-inflated models, summarizes the information criteria of the four models, summarizes the model output of the four models, creates a ggplot object of coefficient plots for each model, and creates a ggplot object of model residuals.