What is the inner conflict in Found by Margaret Peterson Haddix?

Found, by Margaret Peterson Haddix, is a coming of age story with dual internal conflicts in that both Jonah Skidmore and Chip “Charles” Winston are searching for their identities; attempting to realize their inner selves. This is a universal conflict found in many young adult novels.
“I just want to know who I really am,” says Chip. To which Jonah replies, “I do, too.”
Mystery surrounds their arrival on a time traveling plane that carried a group of babies who were unaccompanied by adults. Although the boys are adopted, the author makes the search for their identity even more difficult by developing their characters as time travelers. As they search for their identities, people come into their lives only to leave without a trace. Throughout the characters' struggle to resolve their inner conflict, Haddix presents both good and evil forces. The boys have no control over these character-developing events, but that can be said for the inner struggles of all humanity.
Do the boys reach a resolution for the struggle to find themselves? The author leaves that for a sequel as the boys travel back to the 13th century.