Apple Watch won’t charge and it’s new

How long have you had the watch? Is this the first time using it? Have you allowed the watch to sit on the charger for awhile to make sure it’s not just an issue where the battery was dead and needs some time to charge? If you feel like you have let it sit on the charger for a significant amount of time and still nothing is happening you may want to have Apple inspect it. Also, if you have access to another charger try it to make sure there isn’t an issue with the charger

Make sure you get a new charging puck… it could be the puck. It it were me… I would go to my cellphone provider or an Apple Store and have them check it there.

While you’re there, have them setup your watch for you.

If they exchanged it did they do it with a new one (full exchange during the return/exchange period) or just exchange the watch without actually checking anything else like the charger or making sure the new one was functioning properly before you left the store? Also, did you purchase from Apple or an authorized retailer?

You need to take it back to wherever you purchased and have it exchanged.