George is more disturbed his anger cracked his facade than his relationship with Caroline is torn. He no longer trusts her and trust is the hardest quality to earn back once broken.
No wonder Freddie has made himself scarce. On Caroline's part, she's embarrassed and knows how much it would hurt George to find out Freddie had sex with her.
The scene with King George sitting and enjoying the tales of the seamen was both amusing and compelling. It can only raise the King's opinion if Granger.
This incident with Caroline is bad for both of them.
William is clearly attached to his father.
Caroline's reluctance to be transparent about her dalliance with Treadway has George vexed and lonely, marring his enjoyment and honor of hosting the King's family. He is in a trap of his own making. He didn't demand her fidelity, only that she be discreet and she has done so.
St. Vincent's illness must be short-lived. I believe he replaces Spencer as First Lord in a couple of years. He had an extraordinarily long lifespan for this time, dying at 88.