Hi DethHolst,
There are three ways that you can view/save your replay. During your shot there will be a "View Replay" checkbox in the bottom left of the screen. Just check that box while the ball is in flight and it will automatically replay the shot when it finishes. If you miss the chance to check the box during the shot just go to the MENU and choose REPLAY LAST SHOT before you hit the next shot.
If the last shot you hit ended up in the hole you can choose the VIEW REPLAY option from the scorecard screen (to the left of continue).
No matter which way you choose to view the replay you'll be given an option to save it after you have finished watching it. Just click the SAVE button that pops up after the replay is over, give it a name, click SAVE one more time and you're good to go.
Good Luck =)