Once the landlord gets a judgment against you, an offer of rent will not necessarily stop him from having you removed. Even if the landlord accepts the back rent, he can still have the Sheriff execute the judgment and put you out because the Court generally gives the landlord two things: possession and back rent. Payment of back rent satisfies only one part of the judgment. Putting the tenant out and locking the premises satisfies the other part of the judgment. You should be very sure that the landlord will agree in writing to withdraw the execution and let you stay in the premises before paying any rent after the judgment is entered and before the Sheriff executes.