First off, they call the stretch goals “promises” that they have made, their is no maybe about them.
Secondly, you are right that if the war is ongoing, and a danger to whatever location, they probably wouldn’t be wasting time on any sort of event, however, it isn’t impossible, or inconceivable that an excuse be made.
And thirdly, sure. But my guess for the ending of the story, or at least something that may happen near the end, is that Henry manages to achieve a knighthood. Their are plenty of historical precedents, some even from the exact time this is set, so I see no reason why they wouldn’t add it as an epic reward! The tournament system could even be just for post-game fun as a knight.