The boat used to portray the PT-73 is much too small.
Boxes on aircraft are marked "USAF". There was no USAF during WWII. They would have either been marked USAAF or AAF.
The C-47 transport that Parker arrives in has red stripes through the white bars on the US national insignia, which were not added until 1948, 3 years after the end of World War II. (Other aircraft on the same airfield have the correct national insignia for late World War II.)
The world map on the wall in Harkness' office shows national borders as they were in the 1950s.
When Binghamton and Parker are dangling from the C-47 in a jeep, stabilizing wires are clearly apparent: both in a close shot and in a long-shot of a model of the jeep.