No.
That depends on the laws of the state. Yo might want to repost your question, saying what state the apartment is in.
My question to you would be, how did they get a court order without first having a hearing? Either you never got the notice and they had the hearing without you, or something else is wrong with this...
Even if you move, if you do not answer the eviction complaint, a default judgment will be entered against you without any further notice.
No. Not until after after the hearing AND if you're found guilty.
Unless you were specifically notified to come prepared with it, the ocurt should already have a copy of your record on hand.