Though Max Scully's submarine is explicitly identified as being a Russian Foxtrot class, the exterior shots of it are of a Victor III which is identifiable by both the shape of its conning tower and the pod-like fixture on its top rudder.
An Aemy General does not give operational orders to a sub captain that is obviously in a naval billet. Also, The Admiral would know who Captain Bridger is and should be the one giving him mission orders.
A radio announcer telling the news says that former President Bill Clinton is celebrating his 72 birthday. Given that the show (season one) takes place in the early 2020's and that Clinton was born in 1956, that would place Bill Clinton in his mid 60's inside the series time frame. This is incorrectly regarded as a goof. Bill Clinton was born in 1946 not 1956. He turned 72 in 2018 when this season was set. The setting was 25 years in the future from when it premiered in 1993.