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If they provided you improper itinerary, this is a breach of contract
which means you are entitled to claim your actual losses based on their breach of contract. Thus, you can claim any additional expenses you incurred as a result of getting there a day early without a place to stay (this would include hotel costs and transportation to the hotel) and any money you would not have had to have spent if you had arrived as you were supposed to without the airline's mistake.
You would give them 30 days to respond to your demand. If they do not respond or refuse to pay, then you would be able to sue in the small claims court for your damages as long as those damages are under $5000.
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