The car driven by Jason Wilkes and Whitney Frost to the site of the blast is a 1948 Cadillac even though the episode is set in 1947. 1948 Cadillacs went into production in late February '48, so this car couldn't exist in 1947.
The periodic table behind which the safe in SSR headquarters is apparently holding the uranium rods appears to have an authentic look, but the transactinide elements show the abbreviations only approved by IUPAC in the late 1960s or 1970s. Thus, element 118 is labeled uuo (for ununoctium). Prior to the 1960s, that element was known as eka-emanation (if it was included on a periodic table at all).
The periodic table of elements hiding the uranium core containing safe in the SSR office has multiple elements on that were only named and discovered long after the stories' time-line. A few of these being Meitnerium (1982), Hassium (1984), Darmstadtium (1994) and Roentgenium (1994). The table should actually stop at Curium which is element 96 discovered in 1944.