There were only 2 big mistakes I remember by Tito, both involving leaving starters in too long, one he got lucky on, one he didn't.
1) 2004 ALCS Game 5. Let Pedro pitch to Matsui with us losing 4-2 and 2 men on base and Pedro up over 100 pitches. Got lucky.
2) 2008 ALCS Game 2. Let Beckett come out for the 5th inning. Didn't get lucky.