Goofs

Dorothy's car, a 1941 Cadillac convertible, has whitewall tires when Joe drops her off at her home after the trip to Maryland and back. Then, as he is driving it on the bridge and does a U-turn, it has blackwall tires. When it next appears on the pier with Dorothy driving, it has whitewall tires again.

When Joe replaces the bottle on the water cooler the first time, the angle of the bottle changes between shots.

When Joe shakes hands with Dorothy in the car, the distant shot shows him with his arm stretched downward from above, but the subsequent close shot shows him with his arm level.

When Joe's (Cary Grant) arm is hurt, it's his left arm. When it's being treated, it's his right arm.

After Joe has thrown the dice against Captain Steadman using a glass and "influence", the cut over her shoulder shows the glass at a notably different position than where he just put it.

During Joe's (Cary Grant) visit to the Greek Church, the Priest Vladimir Sokoloff, presumably of the Greek Orthodox Faith, makes the sign of the Cross from left to right instead of right to left.

When Joe is in the Greek Orthodox church, Latin music is heard in the background. This would be sung at a Roman Catholic church, but never at a Greek Orthodox one.

Cary Grant, much like Fred MacMurray in Double Indemnity (1944), is clearly wearing his wedding ring throughout the movie.

Once the Greek Priest (Vladimir Sokoloff) starts reading the letter from a Greek mother to her son, it never occurs to him that Joe (Cary Grant), who brought the letter as if it was his, couldn't read or understand Greek.