Inheriting a Lost Bloodline, My First Task is to have heirs?!

Being a book lover, Luna has always wished that if there was a next life, she would be transmigrated to one of the genres she loves to read about. It was just a wish though, but who would have thought it would happen so soon?! Reverse Harem - Check! Super handsome and hot men - Check! Being rich and pretty - Check! But are there really no take backs for a seemingly perfect life?