The Residential Landlord Tenant Act is in Title 34, Chapter 18.
http://www.rilin.state.ri.us/Statutes/TITLE34/34-18/INDEX.HTM
Your agreement to have T do repairs as part of the rent is enforceable only if you had it in writing & the work was not necessary to bring the buildign up to code. [34-18-22] She MUST allow you access to make "agreed upon repairs". [34-18-26] Their refusal to allow you access is grounds for you to terminate the lease immediately. [34-18-45] You can also just go to court and get an injunction. In either case, the court has to award you costs & attorney fees.
So, if you're feeling nice, send T a letter saying that you will terminate the lease immediately if they do not give you a copy of all keys (or put the old locks back in if you had a special key system) & allow you access to make repairs/remodels, you will terminate the lease tomorrow. If you're just tired of these bozos, send them a letter terminating the lease for abuse of access & requiring them to be out by the end of July. You can find a sample notice in 34-18-56(c). Then, after their time has passed, you evict them for holding over. [34-18-38] If you can show their hold over was willful & not in good faith, you can get a judgment for 3 month's rent (or triple damages) + attorney fees.
Given the fact that they have no place to go, I'd guess they're going to try to hold over past 9/1/00, so you might as well terminate the lease now & start evictions on 8/1/00. Then they might actually be out by 9/1. To preserve your right of access until they leave, apply for an injunction requiring them to allow access to make repairs or show the place. The procedure is set out in 34-18-6.
An eviction takes 25-35 days from filing. You are entitled to prorated rent until they leave. [34-18-43]
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§ 34-18-26 Access. – (a) A tenant shall not unreasonably withhold consent to the landlord to enter into the dwelling unit in order to inspect the premises, make necessary or agreed repairs, decorations, alterations, or improvements, supply necessary or agreed services, or exhibit the dwelling unit to prospective or actual purchasers, mortgagees, tenants, workers, or contractors.
(b) A landlord may enter the dwelling unit without consent of the tenant in case of emergency, or, during any absence of the tenant in excess of seven (7) days, if reasonably necessary for the protection of the property.
(c) A landlord shall not abuse the right of access or use it to harass the tenant. Except in case of emergency or unless it is impracticable to do so, the landlord shall give the tenant at least two (2) days' notice of his or her intent to enter and may enter only at reasonable times.
(d) A landlord has no other right of access except:
(1) Pursuant to court order;
(2) As permitted by § 34-18-39; or
(3) Unless the tenant has abandoned or surrendered the premises.
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§ 34-18-45 Landlord and tenant remedies for abuse of access. – (a) If the tenant refuses to allow lawful access, the landlord may obtain injunctive relief to compel access, or terminate the rental agreement.
(b) If the landlord makes an unlawful entry or a lawful entry in an unreasonable manner or makes repeated demands for entry otherwise lawful but which have the effect of unreasonably harassing the tenant, the tenant may obtain injunctive relief to prevent the recurrence of the conduct or terminate the rental agreement.
(c) In any action under subsection (a) or (b) the prevailing party may recover actual damages and shall be awarded costs and reasonable attorney's fees.
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This is not legal advice and you are not my client. Double check everything with your own attorney and your state's laws.