In the state of Florida, can a land lord sue you for rent if you move out on the 1st of the month when you are not on a lease.

I have been living in a house since December of 2018 where there is no lease. The roommate situation changes frequently and the 'head of household' has frequently changed the amount of rent owed throughout the time. In July we gave notice to the HOH ( our landlord only speaks with her and is very absent and delinquent in his duties other than collecting money ) that we were moving and she did not reveal this information to the landlord, through the application process of moving, the property manager as well as my partner have been in contact with the landlord as of 2 weeks ago. He told us today that we owe him 2x rent since we did not give significant notice, though in the whole time I've lived in the house, he has let people come and go as the HOH pleased. This is the landlords only property that does not have a lease as well as not getting the proper repairs to it, that are needed. We have black mold that was only covered with paint and plaster, termites, and bed bugs.