After analyzing games with a coach should we play them again on the board? I analyze my tournament games with my chess coach on the computer and in the end I have a PGN file which contains all the variations, mistakes, and tactics i missed. The question is am i suppose to play the game all over again on the board trying all the variations etc, or just studying them on the computer screen enough?
It is always a good habit of moving pieces over the board. The best players in the world practice it, and they also recommend it. Sometimes, I can understand that in a busy world you may not have the time and space to occupy yourself and arrange the pieces OTB. 

As far as games are concerned, it depends whether you are learning a specific opening or a variation, then it always useful that you practice your winning games or the games where you have learnt a lot. GM Igor Smirnov says that before you play a tournament, you must have a look into your own games where you had a good win. It not only exuberates your confidence but gives you a strong determination to win the game. Kasparov also says that you must memorize some of the games related to a specific opening which you play. It helps you to remember patterns and best moves in a particular opening.