Other mistake: The Sliders discover the reverse-time issue when they notice that the clock on the wall is backward. However, in other shots, clocks look normal. Look carefully at the clocks on the judge's desk as the camera pans by.
Other mistake: The Doctor scrubs his hands before an operation. He should not have to do this. He is a hologram. He could just dematerialize himself and be rematerialized if he's concerned about contamination.
Suggested correction: Maybe dematerializing and rematerializing would waste too much energy.