The tape Chu shows Pete is supposed to be from the one camera installed in the room. But it contains multiple views and close ups, which wouldn't be possible with a single recording camera, especially if it was just stationary and positioned to film one area, and not controlled by a human camera-operator.
The Bell JetRanger III helicopter has both Canadian and American registration numbers: C-GZPX on the bottom and N471 on the lower part of the nose. One aircraft cannot legally have two registrations at the same time from two countries.
As Mac is hurrying back to Dalton's car after losing his pursuers in the Chinese parade, a city bus is seen driving away into the distance, complete with Diesel engine sound. But the bus is an electric bus, with dual overhead poles.
When MacGyver (and later Jack) enters Arnold Palmer's birthday, they only enter 5 digits for the 6 digit code. Instead of the entered code, 91029, it should be 091029 to fulfill the six digit security code.