After Maj. McCoy and the others have been arrested for possessing a radio, and Col. Smedley-Taylor is waiting outside for news, the shadow of the boom mic being lowered is cast over the actors in the background.
King keeps his fresh eggs in an open bowl in a suitcase. They hide the case, before they can re-arrange the contents, in an hidden vault dropping it down sideways and undoubtedly breaking them. As they do this frequently they will have taken more care of this valuable commodity.
The shoulder patch that Cpl. King (George Segal) is wearing is that of the 34th Infantry Division(Red Bull). The 34th ID served in the European Theater of Operations not in the Pacific. The 34th ID patch is a black Mexican water jug called an "olla" with a red bull's skull superimposed.
The producers may have wanted to use the patch of the Philippine Division commanded by Maj.Gen. Jonathan Wainwright. This was the unit that surrendered to the Japanese on Bataan. The Philippine Div. patch was a red shield with a yellow carabao's head (water buffalo) superimposed.
Just before the camp is liberated we can hear an airplane fly over and it is definitely a propeller operated plane; however, the scene displays a jet flying over complete with vapor trails. However, the B-29 Bomber is a 4 engined prop plane which flew high enough to leave substantial contrails (30,000ft+). Bombers normally flew in large formations but this is a single aircraft which may allude to the Enola Gay, which dropped the first Atomic bomb indicating that Japanese surrender imminent. However, the Enola Gay was accompanied by other B-29s on her atomic bomb raid.
At the end of the beginning credits, a medic folds the arms of a newly-deceased prisoner and covers his face with his blanket. As the medic does so, the dead prisoner moves his own fingers as his hands are placed on his upper arms.
The goof item below may give away important plot points.
After the camp is liberated by the Allies, Larkin learns that his family was killed by a German air raid on Coventry in 1941. However, by 1941 the Luftwaffe's ability to bomb England was curtailed and there were only two raids on Coventry in 1941, both occurring in April. The Pacific War didn't start until December 1941 with the Singapore garrison surrendering in February 1942. Given than 10 months had gone by, Larkin most surely would already have known about the death of his family.