The credits list James Moore as playing the German chancellor Helmut Kohl. However, the chancellor does not appear, only the German ambassador.
The Federal German Border Guard (Bundesgrenzschutz) officials are wearing incorrect uniforms. Firstly, they are sporting the wrong type of collar patches. The ones shown are the rectangular collar patches worn by Army (Heer) infantry; the (now defunct) Border Guard had rhomboid-shaped ones.
Furthermore, their uniform jackets are cut differently. The collar is a giveaway - the uniforms shown are disused police uniforms with Army collar patches to make them look like Border Guard uniforms.
Whilst driving his car, Peña drives past a shop sign which has a Facebook, Twitter and WhatsApp logo on it. None of these existed in 1993.
The scene in which agent Peña asks a CIA operative to find the whereabouts of Pablo's lawyer, shows a computer keyboard with a 'Windows Logo key'. This key was first introduced in 1994, while the events of season 2 take place in 1993.
The cabin of the Lufthansa plane features curved, pull-down style overhead bins. This style of bin was first introduced on the 777 in 1994, while the episode takes place in 1993. Most planes at that time would have had more squared off, shelf type bins.
Upon arrival in, and the denial of entry to, Germany, Tata Escobar claims "to know her rights". As the family is arriving on a tourist visa and obviously not as asylum seekers, they are not automatically "entitled" to anything. Anyone arriving on a tourist visa in Germany at the time of the events could have been returned.