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If there is nothing in the lease specifically about how trash is to be handled or placed in a specific area then you can put it wherever you need to prior to it being picked up on trash day as long as you aren't creating a sanitation issue by leaving it out..
And as long as you are just using the property normally when you are walking back and forth (i.e. no clogging or doing jumping jacks...) then if the floors creak, that is something the tenant should take up with the landlord.
now if this letter states in anyway that they feel I should move on, are they entitled to retain my last months rent and my security deposit if they asked me to move out.
No, as long as you aren't breaking the lease in any way, the landlord can't terminate your lease and force you to move. If you agreed to move out with the landlord, then they have to refund any prepaid rent and any security deposit as long as there arent' any damages or cleaning that is necessary when you moved out.