I like the idea of having the nav menu stay up until you dock it, but honestly I didn't have an issue with as it currently is.
I really like the idea of having the clock and rest both available in the house. It might be superfluous, but I don't think it's a bad thing.
I can only speak for myself, but I'd rather all the characters have some importance than having the side characters be minimalized. I was going to go through all of their stories anyway, so it'd doesn't matter to me if they're necessary or not.