New MacBook Pro won't turn on and neither seems to be charging

If the battery needs full charging, as it appears to, that may take at least 8 hours. With the charger connected, can you startup the computer? If not, then you should let it charge at least three hours. Then see how it's doing. If you are still getting nowhere, then. you need to arrange to return it for a replacement. Make an appointment at the Apple Genius Bar for service after the stores re-open. If you need to find an Apple Store - Find a Store - Apple. Also, see How to find your nearest Apple Authorized Service Provider (AASP) or Distributor (AAD). You may also get Apple authorized service at a local Best Buy or contact Apple Support for more options.

Contacting Apple Customer and Support Service

1. Apple Store Customer Service at 1-800-676-2775 or visit online Help for more information.
2. If you just purchased the product, then you get 90 days of free telephone support from the date of purchase of your Apple device.
3. Primary support help at Contact Support.
4. To contact product and tech support:  Contacting Apple for support and service including international calling numbers.

"Your Apple-branded or Beats-branded hardware product (“Product”) is warranted against defects in materials and workmanship for a period of ONE (1) YEAR from the date of original retail purchase (“Warranty Period”) when used in accordance with Apple`s user manuals (refer to www.apple.com/support/country). Under this warranty, you will be able to direct your claims to Apple even in situations where you purchased the Apple Product from a third party.” [Apple One (1) Year Limited Warranty – Accessory - For Apple and Beats Branded Products Only.]