The year of birth of Oliver's father, Robert Queen, is indicated as 1948 on the TV news item confirming his death, whereas the tombstone at the Queen mansion shown in this and subsequent episodes reads 1958.
While Oliver is standing on a table at his nightclub party, he lifts a shot of tequila to his lips with his right hand. But when the angle shifts, he brings the glass down in his left hand. The angle shifts again, and the glass is back in his right hand.
The goof item below may give away important plot points.
When Robert Queen commits suicide in the life raft, to allow his son to survive with the supplies, he fires a shot through his skull at a downward angle. This would certainly result in the bullet penetrating the skull and exiting with sufficient remaining velocity to pierce the hull of the craft, sinking it and killing Oliver.