"Perhaps you can just say that we're already engaged."
I love how Schnee can say that with a straight face. Do it, Shin. Actually, get engaged to Schnee for real. That way, even the princess can not use any political tricks to force him when she's competing against someone as important as Schnee is. Based on that logic I'm also not sold on Tiera as a viable anti-marriage proposal "excuse" to the kingdom, but I'm definitely sure Yuzuha won't work, immorality aside.
I see princess Lyonne just loves wielding these big-ass swords; it should be reasonable to assume that Muspelm is most likely her main weapon now. So she's a battle junkie tomboy princess, and I guess her chosen one stats help her easily lift these greatswords one-handed.
"Go easy on me."
Says the strongest guy in the kingdom. He keeps trying to feign weakness but this test will show he's no pushover, unless he somehow decides to throw the match.