When Philip receives his Freeze Rod, the background changes from a solid wall in the wide shot to a corridor in the close-up.
During scenes in which Adam and Teela are traveling in the Attack Trak, when viewed from the side, it appears that Adam's head is positioned outside the front window.
Although He-Man surviving freezing temperatures wearing only a loincloth could be attributed to his superhuman nature, it is not explained how Teela is able to withstand the cold in what amounts to no more than a sleeveless leotard.