Welcome to YT - you & your new baby are gonna love it here!
About your traveling, call your airline ASAP - the sooner the better. When I flew on AA, I remembered they said that they only allow a certain number of cabin pets onboard - so hopefully, not a lot of people are traveling with their fur-babies. As long as they're within size limit, it shouldn't be a problem for you to keep Barclay in the cabin with you - as long as he's in his carrier.
Biting & chewing is definitely a hard phase to go through - especially on our shoes and fingers. Just be patient with him & whenever he's chewing something that he shouldn't just tell him 'no' & replace it with one of his toys.
As for your crate schedule - it seems perfect to me!
Good luck & can't wait to see pics!