Nothing is known about the kingdom's history because it has yet to make an appearance.
Trivia
The kingdom's name and the attire of its royalty seem to suggest that it is based on Russia.
The king's name "Beer" may be a reference to alcoholic drinks being particularly popular in Russia and the fact that some Russian communities (and similarly cold inhabited regions) use alcohol to simulate internal warmth during colder periods, with beer being second only to vodka in popularity.
In the anime, the kingdom's ship had an image on the sail of two tankards of beer clinking together.