How do I (automatically) examine a game I just played? (BlitzIn)

Menu above: Actions > Show My recent games.   Right-click on your last game and choose examine.   Alternatively,  you can type history in your main console to show your recent games.   For quick access to your last game, type examine -1 in the main console.

Would you like to automatically enter examine mode after your game finishes?  
Menu above: Edit > Settings > Playing Tab. Under the Variables section check 'Enter examine mode after game”. Click OK when you are done. 
Alternatively, you can go to the main console and type 'set examine 1' to make it default. 
For more information read "help examine".