In Caesar's first scene, he appears under a night sky full of clouds and bright stars. The clouds don't move at all and the stars shine bright through them, giving away the fact it's a painted backdrop with lights. Also, very strong shadows exist giving away the use of stage lighting. Though in fairness, the artifice may have been deliberate, a hat-tip to its origin as a play.
In the opening, Bel Affris arrives to warn Cleopatra of Caesar's imminent arrival. As he enters the gate, the shadow of horse and rider fall across the painted backdrop.
Caesar refers to his nose as "rather long" and "a Roman nose," but the idea of a "Roman nose" was not introduced until almost 150 years later, when the Emperor Hadrian erected statues of his favorite, Antinous, throughout the Empire (where many of the people had never seen a Roman), and Antinous's long nose was taken as typical of Romans (even though Antinous was a Greek).
About halfway through when the Romans are marching through the streets on their way to the courtyard, the drummers all have drums with modern-day Batter-King skins.
When Cleopatra is first seen, she's in a long white robe, the back of which has an obvious zip in it from the neck down.
At the beginning, very strong multiple shadows in different directions give away the locations of the close stage lights.