The wall calendar in the hotel lobby shows the month of June, beginning on a Monday. This is correct for June of 1936, the month of "Page Miss Glory"'s release, except that the cartoon calendar has a 31st day, whereas June actually has 30 days.
The bellhop tries to emulate the main character from the popular ad campaign for Phillip Morris cigarettes, which featured a snappily attired bell boy at the time.
Prohibition had only ended in 1933, so films (and cartoons) were awash with cocktails, as shown here.
The matron performs a fan dance in the style of exotic dancer Sally Rand, who was hugely popular at the time. The fact the dance was a humorous parody probably got it past the censors of the day. Showing undergarments, even in a cartoon, was just this side of the censorship rules.