Sounds like you had a drain problem where the drain "freezes over" and any subsequent defrosting would freeze the water as it can't drain properly. The air vents have probably frozen over not allowing much if any air into the beer compartment. How is the freezer temps? I'm sure they are very cold... good for vodka storage... ha! But not good as the air flow isn't allowing the sensing bulb of the cold control to turn off the fridge, You should melt all the ice in the freezer section, in the vents, and it would be a good idea to install a Whirlpool authorized heat probe kit to prevent future freeze ups.
Here is a link to the heat probe kit: