No, they will always only replace the watch, not any accessories like band or charger.
If you go to the Apple Store to replace it, they will put it into a small white shipping box in front of you and the replacement will come in exact the same small white box after they examined it in the depot. If you order a shipment from the website, they will first mail you a small box you need to put your watch into, then reship it to Apple. The replacement will then be shipped back to you after examination. The instructions will explicitly state only to ship the watch, no bands or other accessories.
I'm pretty sure they'll replace it. Just don't mess with it - don't try to glue it back or remove the battery or screen. Leave it all in an original state and they will ship you a new one.