The location shown on the computer where they keep the spaceship would put "the radio" somewhere around Sawtooth Mountain (38.276301003689255, -106.86595605781753).
There are no glaciers anywhere in these parts of the Rocky Mountains.
Although law enforcement is not of itself a branch of government, it does fall under the Executive Branch, which is the branch of government that the mayor is head of.
D'Arcy and Asta both shout to each other in the crevasse to check if they are fine. No real person with experience in high mountains and glacier will use an high tone of voice because the vibrations will cause an avalanche and for sure not an Olympic level ski professional.