I'll have to go watch that video later, but definitely do not rely on SNG Wizard's automatic analysis alone. It is ok to check every hand SNG Wizard flags as wrong, but also check many hands SNG Wizard says are correct. Not only are the default ranges far off, SNG Wizard also does not flag missed shoves for over 10 BB. I believe SNG Wizard will not complain if you open-fold AA for 10.1 bb.
Some programs like HEM let you mark a hand as you play. I recommend trying to mark a few decisions you think are interesting, whether they were your decisions or not. Then analyze those hands more carefully later.
I use a replayer to flip through all hands in few tournaments. When an interesting situations comes up, I sometimes analyze the hand with SNG Wizard, sometimes my program ICM Explorer plus PokerStove, and sometimes with a Nash calculator. I also try to use a database program to analyze what typical or specific opponents' ranges might be in a situation.
You also might want to look up an opponent or two on Sharkscope or a similar website if that is permitted by the poker server where you play. If a player is making a lot of plays you wouldn't, it could be that he is playing better than you, or it could be a leak. Checking on Sharkscope can help you to distinguish between those.