When Rassendyll first meets Flavia during the coronation, and does the customary kiss on the cheek, their eyes meet. So taken by her beauty, Rassendyll smiles. Flavia is so stunned (having been used to 'Rudolph' as a bit of an ass) that she smiles back.
Rudolph thanks Rassendyll for everything he has done. It's implied that his experiences gave him a good Break the Haughty and he might be a better king as a result.
When Rudolph is unconscious and hidden in the cellar, Sapt takes off his coat and puts it under the king's head as a pillow. It's a brief moment, but it shows that despite his gruffness Sapt really does care for Rudolph.
As Rassendyll leaves Ruritania, Sapt calls him "the finest Elphberg of them all", and he and Fritz salute Rassendyll.
