1) Hit the button in the top left corner to pick whether you are modifying Seasons, Teams or Players. This step isn't necessary in the Games screen because you are only dealing with games.
2) At the bottom of the list (always visible in landscape mode, visible by hitting the second button in the top left in portrait mode) select a Season and/or Team as appropriate.
UPDATE - with the currently released version you no longer need to hit Edit then + to add entries. Simply click in the 'Add' row. This should be far more intuitive.
5) Click on any row to bring the details into the main screen for editing. Here's the annoying twist - you can't be in Edit mode to edit something. Yes, its kinda silly :) If you are in Edit mode, hit the Done button. Then you will be able to edit entries. Hit save when you're finished.
I know the workflow isn't great. I'm working on improving it but I want to get the Android versions done first plus I am finalizing a new app that tracks all of the stats just by entering shots. You'll be able to track goals, assists, shots, saves, missed shots, pipe/post shots and blocked shots - for both your team AND your opponent. It will also track the stats for the goalies. It is being beta tested this weekend at a rather large tournament in Minnesota - if all goes well I'll get it released shortly. Which app to chose really depends on the stats you want and the workflow you like.
Please contact me with any questions or suggestions.