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If you took out the old broken A/C and replaced it without the Landlord's knowledge, you must put it back or leave your own there. The Landlord does not have any obligation to reimburse you for the new A/C when you did not tell the Landlord that the old A/C was broken in the first place and you replaced it. Nevertheless, you can tell the Landlord about the replacement now, produce the receipt for your purchase and installation and see if the Landlord can reimburse you for some of your costs.
There is no self-remedy to eviction actions in Florida. This means that the Landlord cannot change your locks, shut off your utilities in order to force you out. The Landlord must file eviction action in Court and obtain a Writ of Possession in order to remove you from the premises. See Florida Statutes Section 83.59
Once the eviction action is filed in Court, you must be served with the Summons and the Complaint so that you would get the opportunity to respond to the Complaint and tell the Court why you should not be evicted or be given a little time to move. But see Florida Statutes Section 83.60. Also see Florida Statutes Section 83.56:
For the Florida Statutes dealing with the Landlord’s access to the premises, see Florida Statutes Section 83.53:
83.53 Landlord’s access to dwelling unit.—
(1) The tenant shall not unreasonably withhold consent to the landlord to enter the dwelling unit from time to time in order to inspect the premises; make necessary or agreed repairs, decorations, alterations, or improvements; supply agreed services; or exhibit the dwelling unit to prospective or actual purchasers, mortgagees, tenants, workers, or contractors.
(2) The landlord may enter the dwelling unit at any time for the protection or preservation of the premises. The landlord may enter the dwelling unit upon reasonable notice to the tenant and at a reasonable time for the purpose of repair of the premises. “Reasonable notice” for the purpose of repair is notice given at least 12 hours prior to the entry, and reasonable time for the purpose of repair shall be between the hours of 7:30 a.m. and 8:00 p.m. The landlord may enter the dwelling unit when necessary for the further purposes set forth in subsection (1) under any of the following circumstances:
(a) With the consent of the tenant;
(b) In case of emergency;
(c) When the tenant unreasonably withholds consent; or
(d) If the tenant is absent from the premises for a period of time equal to one-half the time for periodic rental payments. If the rent is current and the tenant notifies the landlord of an intended absence, then the landlord may enter only with the consent of the tenant or for the protection or preservation of the premises.
(3) The landlord shall not abuse the right of access nor use it to harass the tenant.
If you need an Attorney, you can use these links to find Florida Attorneys that handle Landlord and Tenant issues: