Perseus
Avenger
Amen to that!
Perseus
Avenger
I wish.
Faust
Fortunate one
Riordan
King/Poet/Royal poet
It's the first name of the author of Aru Shah.
Felix Felicis, anyone?
Roshani
Light
Felix
Lucky/Successful
Shah
King/Emperor
Aru
The sun/beautiful girl
Percabeth.
I think Artemis is Santa because she's the goddess of children, caregiving, and motherhood. In Greek Gods it's said that she rarely goes into towns or cities to help mothers in birth or children.
Frederick
Peaceful ruler
Yup, but Hans was 13th, which I'm pretty sure was done on purpose because 13 is supposedly bad luck.
Octavian
Born eighth.
Estelle
Star/Well-groomed
Carter
Someone who transports via cart
There's a giant book out there, I think you can find it on Amazon, and it's every Rick Riordan book in series order - PJO, HoO, ToA, TKC, TC, and other companion books. So I would choose that.