Gordon rides the shuttle Columbia to orbit but the shuttle footage used is a shuttle that lacks the black chines on the wings of Columbia. While it is possible that the Columbia in this version of history lacked this distinctive color among all shuttles, the producers could have easily used footage of Columbia to convey greater accuracy.
At 0:07:31 there is a shot showing Ed up on a hill leaning against his Pontiac Trans Am watching Gordo's space shuttle launch. This episode is supposed to take place in 1983, but the design of the car's nose and wheels point to it being a 1985 or later Trans Am.
A trained unarmed Soviet cosmonaut being arrested by armed Marines would not reach into a receptacle not visible to his captors - especially after his late comrade had been shot while doing so.