As Archer first starts to walk out into the auditorium to give his speech, T'Pol stops him. He turns back, holding his PADD in front of himself with both hands. In the immediate next shot, his hands are at his sides with the PADD in one hand.
When Riker and Troi are talking in the conference room, after Riker plays the role of the chef, the stars are stationary despite the fact Enterprise is shown moving (likely at impulse). This is a goof seen repeatedly throughout all Star Trek series.
One of the CG shots of the Enterprise-D, it can be seen with small, white, glowing points of light which are supposed to be stars. The Enterprise is not so massive that a star appears that small by comparison.