MacGyver's opening narration identifies the missile being dismantled as a Trident 2. Shortly after that, Pete Thornton identifies the missile over a loudspeaker as a Titan 2.
At the train yard, Kelham refers to Akers' organization as the "DSX" instead of the DXS as the Department of External Services, Pete Thornton's prior employer, is known throughout the series.
The train yard has clear weather, yet in one brief scene, it is raining.
Pete says that as a result of his actions "three people are dead and eight more are in the hospital". Yet when the defueling device blows up, there are only two workers in the area.
Mac identifies the missile being disarmed as a "Trident II". However, the Trident II is a submarine launched ballistic missile (SLBM). The missile being disarmed has US Air Force markings.
The stunt double for Pete at the hockey rink is noticeably thinner than Pete.