The "Earth coordinates" shown on screen relate to the Filmation Studio address at the time of production, including street number, zip code, phone number and telex number.
Man-At-Arms needs a Kerium Water Crystal. In Filmation's BraveStarr (1987), Kerium was the most valuable substance on the planet New Texas.
The character model used for the Snow Beast is a reuse of the Ice Hacker from The Dragon's Gift (1983).
She-Ra fires a beam from the crystal in her sword at the Monstroids. The only other time she used this ability was in The Prisoners of Beast Island (1985).
The Beastmonster - or at least its face - is based on the rubber 'dragon' hand puppet included in the Fright Zone toy play set.