When Morgan is talking to Chuck about who to trust he is already holding the tape recorder, but Emmett has not given it to him yet.
When Jill escapes Sarah's attention, she relieves a dead Fulcrum agent of his weapon and key card. In the next shot these items are still on the body.
When we see the CCTV monitors in the Fulcrum building that follow Sarah and Jill's ingress to the building, the camera is shown to be looking down from a high mounting on the wall, but the shot visible on the monitor is from a camera at about waist level.
The window washing rig outside the broken office window alternates between swinging around freely on its cables when viewed from the outside, to being solidly fixed when viewed from the inside.