When Ricky and Fernando fall to the ice fighting, Fernando isn't wearing skates, even though he was just skating with Lucy.
The flowers Lucy pulls out of her box of mementos are the ones Ricky is seen buying for her in "Lucy Takes a Cruise to Havana." However, the story about how Ricky proposed contradicts continuity from The Marriage License (1952), where they recreate the proposal, which Lucy mentions having happened in a warm-weather season following a picnic.
As Fernando Lamas and Ricky Ricardo are fighting on the ice, the people in the crowd behind them change position each time a different angle is shown. For example, a tall man with glasses is next to the woman in the bright sweater in some shots, but not in others.