Hi Kevin ,
BIAB or not , this song did come out very good .
I would not have know that you used BIAB if you did not mention it upfront

IMHO, I think you pretty much owned what you did here with the song . The singing and production was very decent .
I happen to miss hearing those Lennon type of chord progressions in popular Music .
I happen to think that what you have done here is a very good starting off point to piggy backing off what has been done before in the past while giving you the opportunity to bring this type of genre to a new place while still honoring your Lennon influence .
How could you accomplish that goal ? IMHO it would take giving time a little time ...step away from the tune a little bit and start replacing some of the BIAB generated auto accompaniments with instruments you have played in their place ..
You can even ask a few players on the forum to collab with you if need be . I'm sure there's a few people here on the forum that are familiar with The Music of the Beatles and Lennon ...
If you are on your own you can work it one track at a time ,
ex,...add some nice acoustic guitar strums in select places ..BTW, Session Drummer has a great Ringo Kit ...
Little touches like that along the way can add up to big changes in a song ...
In any event, I still think your song as it is was , is certainly a very good listen

good job .
all the best ,
Kenny