Kentucky Brewery

Kentucky Brewery is well known for their Kentucky Bourbon Barrel beer.

They have some brews that use flavoring (vanilla, coffee, peach, fruit, pumpkin butter). Those would be an issue without more investigation into the flavors themselves. They do not make any experimental beers with oysters. They only thing they experiment with is bourbon barrels.
They do use sherry and port wine casks for some beers, so that can be an issue depending on what you hold by. According to the Star K, you cannot use those without a hecksher.
They do not have a pub so there is no issue there.

Overall, their unflavored beers in bourbon casks are ok by Star K standards.