When Eli wakes up in bed and rolls over, he has the sheet up to his neck. In the subsequent camera shots, the sheet is down below his chest without him having moved it.
Two of the lawyers state that they can raise a 4th Amendment defense to Jesse Bates being held in jail for contempt of court. That's a mistake a first year law student would not make. The 4th Amendment deals with searches and seizures, while the 5th Amendment deals with citizens being held without due process, the 6th deals with the right to a trial, and the 8th deals with cruel and unusual punishment as well as bail. Any one of these would have been a plausible script line instead of the 4th.
While the judge holding Dowd in contempt was entertaining, in reality a judge in her situation would have to recuse herself due to the perception of bias- which she confirmed during her diatribe about him in court. Dowd had not done anything professionally to be held in contempt, so her jailing him would result in a large civil liability against her employer. This scenario was repeated when Taylor was jailed after moving for a recusal.