You cannot break the lease simply by virtue of it being a bad neighborhood as the court will say you took the home sigh unseen and the LL has no duty to disclose crime reports, etc. to you. The only way you could move out would be based on a theory of constructive eviction.
Problems with the home, however, are a basis for breaking a lease. You must follow strict procedures in order to break a lease, including giving the LL an opportunity to cure.
Contact a local attorney asap.
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You can first try to negotiate with the landlord. If the landlord agrees you can write up a mutual lease termination agreement and you will be out of the lease. Make sure you get it signed and in WRITING so the landlord cannot come after you later. You may also could provide some incentive by "buying out" the lease, that is, giving the landlord an offer of money, perhaps one months extra rent to let you out early.
If that does not work, you should send the landlord a letter in WRITING demanding that within 7 days that he repair the roof of the garage. The garage is currently of no use to you so you are not getting what you bargained for, and could seek a reduced rent. Sometimes if you take these steps the landlord might become tired of you and let you out by mutual agreement. If the landlord does not make the repairs in 7 days you can perhaps use that to terminate the lease. Call a local landlord tenant lawyer to help you.
Attorney answers to questions are for general purposes only and do not establish an attorney-client relationship. The hiring of an attorney is an important decision that should not be based solely upon advertisements. Before you decide, ask us to send you free written information about our qualifications and experience. Landlord/Tenant, Appellate and Criminal Defense. Robert Devin, Esq. (954) 647-5927, 200 SE 6th St., Suite 603, Ft. Lauderdale, FL 33301 firstname.lastname@example.org