Great analysis on the show and characters.
And I absolutely second all your thoughts. Felt the same about the first episode.
Both Rajmata and Ranaji seems to wear a mask in front of all but when alone they are completely different personality. Rajmata was all about her looks and beauty but insecure as well. However she retorts back when someone points out about the signs of her ageing giving "I don't care" attitude back.
Ranaji tried to look strong but inside he was deeply sad at how many lives were lost in the world war. There was no pride on his face about the fact that he cameback as a winner.
The mystery around the royal family is intriguing.
And as you said Gayatri was the life of this episode. Her life and character was in total contrast from the royal family. She is full of life and really loves books. I can't be thankful enough for this one fact that she at least knows reading and seems educated as well. I was so not looking forward to her character thinking it would be typical since the show is set in 1940s. But I was pleasantly surprised reading articles that she is different from other girls of her generations. That fact got me excited to watch this show.
Hope the makers stick to their concept and their storyline and don't change it for trps.
First episode looked grand sets wise. And I hope they continue with this authenticity.