There have been articles written about Martin’s behavior problems in both school and with the law. While his juvenile court record might be sealed, there could be newspaper articles that refer to his actions.
Whether they could be brought up or entered into evidence (it being close to hearsay unless the writer actually saw the court records, school records), is another question.
I think the jury got the message that he's a punk from Jenteal's testimony and the witnesses who saw him smashing GZ on the walk.
There is no way any newspaper articles (or other articles) could be entered as evidence. Among other reasons they’d never get in, they are hearsay, regardless of whether the author saw the records.
I believe Trayvon was under school suspension the day he was killed.