Jack shaves off his beard at 9:00 a.m. By 10:00 a.m. (riding in the car with the three villains), he already has a five o'clock shadow. At 11:00 a.m. he's more cleanly-shaven again. The beard seems to come and go.
When Jack gets out of his car at the auto shop, the camera drifts down and reveals a squarish, tattered hole in his Levis. In the long shot showing him walking up to the door and into the shop, the hole is magically gone.
It is shown that Michelle was on the helicopter with Jack at 05:42 but it is shown later that she is at CTU headquarters at 08:30 when George Mason got off the phone with Jack who just landed the helicopter 2 minutes ago. It is not possible for her to get back from the helicopter in that time frame.