Argh, sorry about the flickers! It seems to be a new bug, so I may have to reach out to you on that one!
As far as the fights go, there are four main ones: the dragon, the guard, the evil sorcerer, and your boss. The dragon is pretty early (basically you just have to fight the dragon vs. talk it down from attacking you). Guard and sorcerer are near the end of the game. Fighting your boss happens any time you irritate her too much and she decides you're no longer a worthy minion!
(Thanks for the comment and Youtube!)