Woody drinks some beer and has a massive hangover. However in It's Lonely on the Top (1993) when Carla takes over the bar, the regulars have massive hangovers and Woody is the only one not affected by drinking heavily.
Rebecca tells Frasier that she never met him till he was married. Rebecca joined the cast at the start of the sixth season, and Frasier married Lilith near the end of that season.