His time travel window goes too far on the past though, as it is now he could be Skylar’s dad (and that would explain Luna), but everyone else including himself is a few years too young.
That said, Hoodie said he’d destroy the machine this time, so it’s possible that the next trip goes to a few years later and ties everything up.
Sure it would be a paradox for him to be his own father, but depending on the time travel theory the author subscribes to, that may not make it necessarily impossible. There is a great classic time travel novel with this twist (not going to mention the title as it would be a spoiler).