Would this be considered perjury or extortion?

Landlord abandoned our belongings in a storage unit. We just found out that they stopped paying a few months ago. Storage owner put a padlock on the unit. It turns out that our landlord has not had possession of our belongings for a long time. They still have been trying to charge us storage and get more money out of us. We tell them to show us our stuff first to make sure it's all there. They refuse. They want money first. They said if we didn't pay that they would be auctioning off our stuff. This was supposed to have happened this past Friday. Since they are not in possession of it, the auction really didn't happen. They made us believe them. The storage owner is letting us get our things with no problems. Did our landlord commit perjury by lying to us? Extortion by demanding money or they would auction our stuff? They also said on the eviction affidavit that we refused to move. I have an email where we told them that we agreed to move as soon as we got back to town. We never refused. Would lying like that on an affidavit be considered perjury by our landlord? We live in Georgia.