What epoxy should be used to attached the personalized name tag to the luggage?

Hello, Thank you for your question. We use the expoxy glue from Amazon: https://www.amazon.com/epoxy-glue/s?k=epoxy+glue Please remember to wear gloves when apply. Kind Regards, Janice Conte FlyWithWine

will it fit liquor bottles?

Thank you for your question. The regular inserts do not fit liquor bottles. However, we have customizable inserts that you can use to protect your liquor bottles. Please find the link to the Amazon product page below: https://www.amazon.com/dp/B078SDSFXV Thank you

Is there any insulation to protect the wine from the huge temperature swings common in a plane's luggage compartment?

No insulation, but some temperature moderation from the foam inserts. You can purchase wine chiller sheets that do protect against hot temperatures.

What is the divider made of? And it prevents breakage?

The divider and bottle protector is not styrofoam , bu a thick sturdy foam like stuff- i dont know the exact name for this. I travelled to Bali recently and brought some champagne and wine, the padding takes ip a bit of space of course, but everything sirvives through check- in