There is a left luggage facility but you don't need it
I know everyone says it but you really don't need many clothes in FP. It's warm and very informal, even at dining at night. The airport does have a left luggage facility- I haven't used it but IIRC it is about $5 per bag per 24hrs. It's also pretty expensive (eg $100 for 4 bags for 4 days).
As mentioned above you get 20kgs per person when connecting from intl flights.