For the "Bonnie Lies Over the Ocean" scene, Lucy took off her false eyelashes before filming, so as not to get them wet.
Ricky itemizes the household bills as:
Rent: $250
Groceries: $100
Charge Account: $575
Utilities: $74.50
Total: $999.50
The Ricardos are shown to have liquor bottles in their living room in this episode. The liquor is taken away for future episodes, so the Ricardos didn't look like drunks.