Prince regent can not wear the King’s Crown. Ever. Which is nice.
His mare can’t be queen either.
Where are you getting that? It's certainly not the historical outcome.
The king who became George IV was Prince Regent for George III.
The longer Elizabeth II lasts, the better for him--if he is in his 80s when his mother dies, the public might be willing to endure him figuring that he won't last very long. He's 68 now, will be 69 in a couple of months.