The Jupiter-C Redstone boosters shown all carry the production code "UE", which was only used for the extended Redstone (as part of the "Juno I" rocket) that carried Explorer 1 aloft.
The narrator twice says that the Mercury-Redstone could put an astronaut into orbit. The best the Mercury-Redstone could do was put an astronaut into a 15-minute ballistic trajectory which peaked out around 120 miles up. No orbit.