Trade in

If that is what was agreed upon when you went through the online process, then yes, they do usually ship a box. Please note: it is recommended that you take pics of your device to show its condition before shipping and getting it insured for its value as well and a tracking number - just in case it gets lost or something happens to it.

Unfortunately, I don't know since none of us work for Apple. You'd need to contact Apple or the company they are using.